Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [931,2,Mod(226,931)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(931, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([6, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("931.226");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 931 = 7^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 931.x (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.43407242818\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 814.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 931.814 |
Dual form | 931.2.x.b.557.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/931\mathbb{Z}\right)^\times\).
\(n\) | \(248\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.37939 | − | 0.866025i | 1.68248 | − | 0.612372i | 0.688833 | − | 0.724920i | \(-0.258123\pi\) |
0.993646 | + | 0.112548i | \(0.0359011\pi\) | |||||||
\(3\) | 0.500000 | + | 0.419550i | 0.288675 | + | 0.242227i | 0.775612 | − | 0.631210i | \(-0.217441\pi\) |
−0.486937 | + | 0.873437i | \(0.661886\pi\) | |||||||
\(4\) | 3.37939 | − | 2.83564i | 1.68969 | − | 1.41782i | ||||
\(5\) | 1.03209 | + | 0.866025i | 0.461564 | + | 0.387298i | 0.843706 | − | 0.536805i | \(-0.180369\pi\) |
−0.382142 | + | 0.924104i | \(0.624813\pi\) | |||||||
\(6\) | 1.55303 | + | 0.565258i | 0.634023 | + | 0.230766i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 3.05303 | − | 5.28801i | 1.07941 | − | 1.86959i | ||||
\(9\) | −0.446967 | − | 2.53487i | −0.148989 | − | 0.844958i | ||||
\(10\) | 3.20574 | + | 1.16679i | 1.01374 | + | 0.368972i | ||||
\(11\) | −1.18479 | −0.357228 | −0.178614 | − | 0.983919i | \(-0.557161\pi\) | ||||
−0.178614 | + | 0.983919i | \(0.557161\pi\) | |||||||
\(12\) | 2.87939 | 0.831207 | ||||||||
\(13\) | 2.55303 | + | 0.929228i | 0.708084 | + | 0.257722i | 0.670859 | − | 0.741585i | \(-0.265926\pi\) |
0.0372256 | + | 0.999307i | \(0.488148\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.152704 | + | 0.866025i | 0.0394279 | + | 0.223607i | ||||
\(16\) | 1.15270 | − | 6.53731i | 0.288176 | − | 1.63433i | ||||
\(17\) | −0.673648 | + | 3.82045i | −0.163384 | + | 0.926595i | 0.787332 | + | 0.616530i | \(0.211462\pi\) |
−0.950715 | + | 0.310065i | \(0.899649\pi\) | |||||||
\(18\) | −3.25877 | − | 5.64436i | −0.768100 | − | 1.33039i | ||||
\(19\) | −3.29813 | − | 2.84997i | −0.756644 | − | 0.653827i | ||||
\(20\) | 5.94356 | 1.32902 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.81908 | + | 1.02606i | −0.601029 | + | 0.218757i | ||||
\(23\) | 4.75877 | + | 1.73205i | 0.992272 | + | 0.361158i | 0.786600 | − | 0.617463i | \(-0.211840\pi\) |
0.205673 | + | 0.978621i | \(0.434062\pi\) | |||||||
\(24\) | 3.74510 | − | 1.36310i | 0.764465 | − | 0.278243i | ||||
\(25\) | −0.553033 | − | 3.13641i | −0.110607 | − | 0.627282i | ||||
\(26\) | 6.87939 | 1.34916 | ||||||||
\(27\) | 1.81908 | − | 3.15074i | 0.350082 | − | 0.606359i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.56418 | + | 2.99070i | −0.661851 | + | 0.555359i | −0.910641 | − | 0.413198i | \(-0.864412\pi\) |
0.248790 | + | 0.968557i | \(0.419967\pi\) | |||||||
\(30\) | 1.11334 | + | 1.92836i | 0.203267 | + | 0.352069i | ||||
\(31\) | −1.91875 | + | 3.32337i | −0.344617 | + | 0.596895i | −0.985284 | − | 0.170924i | \(-0.945325\pi\) |
0.640667 | + | 0.767819i | \(0.278658\pi\) | |||||||
\(32\) | −0.798133 | − | 4.52644i | −0.141091 | − | 0.800169i | ||||
\(33\) | −0.592396 | − | 0.497079i | −0.103123 | − | 0.0865304i | ||||
\(34\) | 1.70574 | + | 9.67372i | 0.292531 | + | 1.65903i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −8.69846 | − | 7.29888i | −1.44974 | − | 1.21648i | ||||
\(37\) | 2.05303 | − | 3.55596i | 0.337517 | − | 0.584596i | −0.646448 | − | 0.762958i | \(-0.723746\pi\) |
0.983965 | + | 0.178362i | \(0.0570798\pi\) | |||||||
\(38\) | −10.3157 | − | 3.92490i | −1.67342 | − | 0.636704i | ||||
\(39\) | 0.886659 | + | 1.53574i | 0.141979 | + | 0.245915i | ||||
\(40\) | 7.73055 | − | 2.81369i | 1.22231 | − | 0.444884i | ||||
\(41\) | −9.38326 | + | 3.41523i | −1.46542 | + | 0.533369i | −0.946852 | − | 0.321669i | \(-0.895756\pi\) |
−0.518566 | + | 0.855038i | \(0.673534\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.51114 | + | 8.57013i | −0.230447 | + | 1.30693i | 0.621545 | + | 0.783378i | \(0.286505\pi\) |
−0.851993 | + | 0.523554i | \(0.824606\pi\) | |||||||
\(44\) | −4.00387 | + | 3.35965i | −0.603606 | + | 0.506486i | ||||
\(45\) | 1.73396 | − | 3.00330i | 0.258483 | − | 0.447705i | ||||
\(46\) | 12.8229 | 1.89064 | ||||||||
\(47\) | −0.0996702 | − | 0.565258i | −0.0145384 | − | 0.0824513i | 0.976675 | − | 0.214722i | \(-0.0688844\pi\) |
−0.991214 | + | 0.132270i | \(0.957773\pi\) | |||||||
\(48\) | 3.31908 | − | 2.78504i | 0.479068 | − | 0.401985i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −4.03209 | − | 6.98378i | −0.570223 | − | 0.987656i | ||||
\(51\) | −1.93969 | + | 1.62760i | −0.271611 | + | 0.227909i | ||||
\(52\) | 11.2626 | − | 4.09927i | 1.56185 | − | 0.568466i | ||||
\(53\) | 2.25490 | − | 1.89209i | 0.309734 | − | 0.259898i | −0.474648 | − | 0.880176i | \(-0.657425\pi\) |
0.784382 | + | 0.620278i | \(0.212980\pi\) | |||||||
\(54\) | 1.59967 | − | 9.07218i | 0.217688 | − | 1.23457i | ||||
\(55\) | −1.22281 | − | 1.02606i | −0.164884 | − | 0.138354i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.453363 | − | 2.80872i | −0.0600494 | − | 0.372023i | ||||
\(58\) | −5.89053 | + | 10.2027i | −0.773464 | + | 1.33968i | ||||
\(59\) | 0.683448 | − | 3.87603i | 0.0889774 | − | 0.504616i | −0.907450 | − | 0.420160i | \(-0.861974\pi\) |
0.996427 | − | 0.0844555i | \(-0.0269151\pi\) | |||||||
\(60\) | 2.97178 | + | 2.49362i | 0.383655 | + | 0.321925i | ||||
\(61\) | −4.24510 | − | 1.54509i | −0.543529 | − | 0.197829i | 0.0556399 | − | 0.998451i | \(-0.482280\pi\) |
−0.599169 | + | 0.800622i | \(0.704502\pi\) | |||||||
\(62\) | −1.68732 | + | 9.56926i | −0.214290 | + | 1.21530i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.819078 | + | 1.41868i | 0.102385 | + | 0.177336i | ||||
\(65\) | 1.83022 | + | 3.17004i | 0.227011 | + | 0.393195i | ||||
\(66\) | −1.84002 | − | 0.669713i | −0.226491 | − | 0.0824360i | ||||
\(67\) | 3.65270 | + | 1.32948i | 0.446249 | + | 0.162421i | 0.555363 | − | 0.831608i | \(-0.312579\pi\) |
−0.109114 | + | 0.994029i | \(0.534801\pi\) | |||||||
\(68\) | 8.55690 | + | 14.8210i | 1.03768 | + | 1.79731i | ||||
\(69\) | 1.65270 | + | 2.86257i | 0.198962 | + | 0.344613i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.20439 | + | 6.83045i | −0.142935 | + | 0.810625i | 0.826067 | + | 0.563572i | \(0.190573\pi\) |
−0.969002 | + | 0.247053i | \(0.920538\pi\) | |||||||
\(72\) | −14.7690 | − | 5.37549i | −1.74055 | − | 0.633508i | ||||
\(73\) | −4.69459 | − | 3.93923i | −0.549461 | − | 0.461052i | 0.325298 | − | 0.945612i | \(-0.394535\pi\) |
−0.874758 | + | 0.484560i | \(0.838980\pi\) | |||||||
\(74\) | 1.80541 | − | 10.2390i | 0.209874 | − | 1.19026i | ||||
\(75\) | 1.03936 | − | 1.80023i | 0.120015 | − | 0.207873i | ||||
\(76\) | −19.2271 | − | 0.278817i | −2.20551 | − | 0.0319825i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 3.43969 | + | 2.88624i | 0.389468 | + | 0.326803i | ||||
\(79\) | 1.70321 | − | 9.65939i | 0.191626 | − | 1.08677i | −0.725516 | − | 0.688206i | \(-0.758399\pi\) |
0.917142 | − | 0.398561i | \(-0.130490\pi\) | |||||||
\(80\) | 6.85117 | − | 5.74881i | 0.765984 | − | 0.642737i | ||||
\(81\) | −5.02481 | + | 1.82888i | −0.558313 | + | 0.203209i | ||||
\(82\) | −19.3687 | + | 16.2523i | −2.13892 | + | 1.79476i | ||||
\(83\) | 6.15910 | + | 10.6679i | 0.676049 | + | 1.17095i | 0.976161 | + | 0.217047i | \(0.0696426\pi\) |
−0.300112 | + | 0.953904i | \(0.597024\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.00387 | + | 3.35965i | −0.434281 | + | 0.364405i | ||||
\(86\) | 3.82635 | + | 21.7003i | 0.412606 | + | 2.34001i | ||||
\(87\) | −3.03684 | −0.325583 | ||||||||
\(88\) | −3.61721 | + | 6.26519i | −0.385596 | + | 0.667872i | ||||
\(89\) | 1.85844 | − | 1.55942i | 0.196994 | − | 0.165298i | −0.538955 | − | 0.842335i | \(-0.681181\pi\) |
0.735949 | + | 0.677037i | \(0.236736\pi\) | |||||||
\(90\) | 1.52481 | − | 8.64766i | 0.160730 | − | 0.911543i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 20.9932 | − | 7.64090i | 2.18869 | − | 0.796619i | ||||
\(93\) | −2.35369 | + | 0.856674i | −0.244067 | + | 0.0888330i | ||||
\(94\) | −0.726682 | − | 1.25865i | −0.0749515 | − | 0.129820i | ||||
\(95\) | −0.935822 | − | 5.79769i | −0.0960133 | − | 0.594830i | ||||
\(96\) | 1.50000 | − | 2.59808i | 0.153093 | − | 0.265165i | ||||
\(97\) | −5.64543 | − | 4.73708i | −0.573207 | − | 0.480977i | 0.309502 | − | 0.950899i | \(-0.399838\pi\) |
−0.882708 | + | 0.469922i | \(0.844282\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.529563 | + | 3.00330i | 0.0532231 | + | 0.301843i | ||||
\(100\) | −10.7626 | − | 9.03093i | −1.07626 | − | 0.903093i | ||||
\(101\) | −0.376859 | − | 2.13727i | −0.0374989 | − | 0.212667i | 0.960301 | − | 0.278966i | \(-0.0899918\pi\) |
−0.997800 | + | 0.0662996i | \(0.978881\pi\) | |||||||
\(102\) | −3.20574 | + | 5.55250i | −0.317415 | + | 0.549779i | ||||
\(103\) | −6.23783 | − | 10.8042i | −0.614631 | − | 1.06457i | −0.990449 | − | 0.137879i | \(-0.955971\pi\) |
0.375818 | − | 0.926694i | \(-0.377362\pi\) | |||||||
\(104\) | 12.7083 | − | 10.6635i | 1.24615 | − | 1.04564i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.72668 | − | 6.45480i | 0.361967 | − | 0.626946i | ||||
\(107\) | −6.68004 | −0.645784 | −0.322892 | − | 0.946436i | \(-0.604655\pi\) | ||||
−0.322892 | + | 0.946436i | \(0.604655\pi\) | |||||||
\(108\) | −2.78699 | − | 15.8058i | −0.268178 | − | 1.52091i | ||||
\(109\) | −8.88326 | + | 3.23324i | −0.850862 | + | 0.309688i | −0.730392 | − | 0.683029i | \(-0.760662\pi\) |
−0.120470 | + | 0.992717i | \(0.538440\pi\) | |||||||
\(110\) | −3.79813 | − | 1.38241i | −0.362138 | − | 0.131807i | ||||
\(111\) | 2.51842 | − | 0.916629i | 0.239038 | − | 0.0870026i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.31046 | 0.123278 | 0.0616388 | − | 0.998099i | \(-0.480367\pi\) | ||||
0.0616388 | + | 0.998099i | \(0.480367\pi\) | |||||||
\(114\) | −3.51114 | − | 6.29039i | −0.328849 | − | 0.589149i | ||||
\(115\) | 3.41147 | + | 5.90885i | 0.318122 | + | 0.551003i | ||||
\(116\) | −3.56418 | + | 20.2135i | −0.330926 | + | 1.87677i | ||||
\(117\) | 1.21436 | − | 6.88695i | 0.112267 | − | 0.636699i | ||||
\(118\) | −1.73055 | − | 9.81445i | −0.159310 | − | 0.903493i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 5.04576 | + | 1.83651i | 0.460613 | + | 0.167649i | ||||
\(121\) | −9.59627 | −0.872388 | ||||||||
\(122\) | −11.4388 | −1.03562 | ||||||||
\(123\) | −6.12449 | − | 2.22913i | −0.552226 | − | 0.200994i | ||||
\(124\) | 2.93969 | + | 16.6718i | 0.263992 | + | 1.49717i | ||||
\(125\) | 5.51367 | − | 9.54996i | 0.493158 | − | 0.854174i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 13.6284 | + | 4.96032i | 1.20932 | + | 0.440157i | 0.866468 | − | 0.499232i | \(-0.166385\pi\) |
0.342853 | + | 0.939389i | \(0.388607\pi\) | |||||||
\(128\) | 10.2194 | + | 8.57510i | 0.903277 | + | 0.757939i | ||||
\(129\) | −4.35117 | + | 3.65106i | −0.383099 | + | 0.321458i | ||||
\(130\) | 7.10014 | + | 5.95772i | 0.622723 | + | 0.522527i | ||||
\(131\) | −18.6138 | + | 6.77487i | −1.62630 | + | 0.591923i | −0.984567 | − | 0.175008i | \(-0.944005\pi\) |
−0.641729 | + | 0.766932i | \(0.721783\pi\) | |||||||
\(132\) | −3.41147 | −0.296931 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 9.84255 | 0.850267 | ||||||||
\(135\) | 4.60607 | − | 1.67647i | 0.396427 | − | 0.144288i | ||||
\(136\) | 18.1459 | + | 15.2262i | 1.55600 | + | 1.30564i | ||||
\(137\) | 7.81702 | − | 6.55926i | 0.667853 | − | 0.560395i | −0.244576 | − | 0.969630i | \(-0.578649\pi\) |
0.912429 | + | 0.409235i | \(0.134204\pi\) | |||||||
\(138\) | 6.41147 | + | 5.37987i | 0.545781 | + | 0.457965i | ||||
\(139\) | −1.56031 | − | 0.567905i | −0.132344 | − | 0.0481691i | 0.274999 | − | 0.961444i | \(-0.411322\pi\) |
−0.407343 | + | 0.913275i | \(0.633545\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.187319 | − | 0.324446i | 0.0157751 | − | 0.0273232i | ||||
\(142\) | 3.04963 | + | 17.2953i | 0.255919 | + | 1.45139i | ||||
\(143\) | −3.02481 | − | 1.10094i | −0.252948 | − | 0.0920654i | ||||
\(144\) | −17.0865 | −1.42387 | ||||||||
\(145\) | −6.26857 | −0.520576 | ||||||||
\(146\) | −14.5817 | − | 5.30731i | −1.20679 | − | 0.439236i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.14543 | − | 17.8386i | −0.258553 | − | 1.46633i | ||||
\(149\) | 1.94609 | − | 11.0368i | 0.159430 | − | 0.904172i | −0.795194 | − | 0.606356i | \(-0.792631\pi\) |
0.954623 | − | 0.297816i | \(-0.0962581\pi\) | |||||||
\(150\) | 0.914000 | − | 5.18355i | 0.0746278 | − | 0.423235i | ||||
\(151\) | 5.52094 | + | 9.56256i | 0.449288 | + | 0.778190i | 0.998340 | − | 0.0575986i | \(-0.0183443\pi\) |
−0.549052 | + | 0.835788i | \(0.685011\pi\) | |||||||
\(152\) | −25.1400 | + | 8.73951i | −2.03912 | + | 0.708868i | ||||
\(153\) | 9.98545 | 0.807276 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.85844 | + | 1.76833i | −0.390239 | + | 0.142036i | ||||
\(156\) | 7.35117 | + | 2.67561i | 0.588564 | + | 0.214220i | ||||
\(157\) | 10.3302 | − | 3.75989i | 0.824441 | − | 0.300072i | 0.104866 | − | 0.994486i | \(-0.466559\pi\) |
0.719576 | + | 0.694414i | \(0.244336\pi\) | |||||||
\(158\) | −4.31268 | − | 24.4584i | −0.343098 | − | 1.94581i | ||||
\(159\) | 1.92127 | 0.152367 | ||||||||
\(160\) | 3.09627 | − | 5.36289i | 0.244781 | − | 0.423974i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −10.3721 | + | 8.70323i | −0.814910 | + | 0.683791i | ||||
\(163\) | 3.16637 | + | 5.48432i | 0.248010 | + | 0.429565i | 0.962973 | − | 0.269596i | \(-0.0868902\pi\) |
−0.714964 | + | 0.699161i | \(0.753557\pi\) | |||||||
\(164\) | −22.0253 | + | 38.1489i | −1.71989 | + | 2.97893i | ||||
\(165\) | −0.180922 | − | 1.02606i | −0.0140848 | − | 0.0798787i | ||||
\(166\) | 23.8935 | + | 20.0490i | 1.85450 | + | 1.55611i | ||||
\(167\) | 2.39259 | + | 13.5690i | 0.185144 | + | 1.05000i | 0.925770 | + | 0.378087i | \(0.123418\pi\) |
−0.740626 | + | 0.671917i | \(0.765471\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.30406 | − | 3.61154i | −0.331082 | − | 0.277811i | ||||
\(170\) | −6.61721 | + | 11.4613i | −0.507517 | + | 0.879045i | ||||
\(171\) | −5.75015 | + | 9.63419i | −0.439725 | + | 0.736745i | ||||
\(172\) | 19.1951 | + | 33.2468i | 1.46361 | + | 2.53505i | ||||
\(173\) | 23.7246 | − | 8.63506i | 1.80375 | − | 0.656511i | 0.805822 | − | 0.592157i | \(-0.201724\pi\) |
0.997927 | − | 0.0643540i | \(-0.0204987\pi\) | |||||||
\(174\) | −7.22580 | + | 2.62998i | −0.547787 | + | 0.199378i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.36571 | + | 7.74535i | −0.102945 | + | 0.583828i | ||||
\(177\) | 1.96791 | − | 1.65127i | 0.147917 | − | 0.124117i | ||||
\(178\) | 3.07145 | − | 5.31991i | 0.230215 | − | 0.398744i | ||||
\(179\) | 5.83069 | 0.435806 | 0.217903 | − | 0.975970i | \(-0.430078\pi\) | ||||
0.217903 | + | 0.975970i | \(0.430078\pi\) | |||||||
\(180\) | −2.65657 | − | 15.0662i | −0.198009 | − | 1.12297i | ||||
\(181\) | −10.3892 | + | 8.71756i | −0.772222 | + | 0.647971i | −0.941277 | − | 0.337635i | \(-0.890373\pi\) |
0.169055 | + | 0.985607i | \(0.445928\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.47431 | − | 2.55358i | −0.108984 | − | 0.188766i | ||||
\(184\) | 23.6878 | − | 19.8764i | 1.74629 | − | 1.46531i | ||||
\(185\) | 5.19846 | − | 1.89209i | 0.382199 | − | 0.139109i | ||||
\(186\) | −4.85844 | + | 4.07672i | −0.356238 | + | 0.298919i | ||||
\(187\) | 0.798133 | − | 4.52644i | 0.0583653 | − | 0.331006i | ||||
\(188\) | −1.93969 | − | 1.62760i | −0.141467 | − | 0.118705i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.24763 | − | 12.9845i | −0.525798 | − | 0.941994i | ||||
\(191\) | 5.14203 | − | 8.90625i | 0.372064 | − | 0.644434i | −0.617819 | − | 0.786320i | \(-0.711984\pi\) |
0.989883 | + | 0.141887i | \(0.0453169\pi\) | |||||||
\(192\) | −0.185670 | + | 1.05299i | −0.0133996 | + | 0.0759927i | ||||
\(193\) | 10.5719 | + | 8.87089i | 0.760983 | + | 0.638541i | 0.938383 | − | 0.345598i | \(-0.112324\pi\) |
−0.177399 | + | 0.984139i | \(0.556768\pi\) | |||||||
\(194\) | −17.5351 | − | 6.38225i | −1.25895 | − | 0.458219i | ||||
\(195\) | −0.414878 | + | 2.35289i | −0.0297100 | + | 0.168494i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.97044 | + | 6.87700i | 0.282882 | + | 0.489966i | 0.972093 | − | 0.234594i | \(-0.0753762\pi\) |
−0.689211 | + | 0.724560i | \(0.742043\pi\) | |||||||
\(198\) | 3.86097 | + | 6.68739i | 0.274387 | + | 0.475252i | ||||
\(199\) | 25.4047 | + | 9.24654i | 1.80089 | + | 0.655470i | 0.998258 | + | 0.0589938i | \(0.0187892\pi\) |
0.802631 | + | 0.596476i | \(0.203433\pi\) | |||||||
\(200\) | −18.2738 | − | 6.65111i | −1.29215 | − | 0.470305i | ||||
\(201\) | 1.26857 | + | 2.19723i | 0.0894781 | + | 0.154981i | ||||
\(202\) | −2.74763 | − | 4.75903i | −0.193322 | − | 0.334844i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −1.93969 | + | 11.0005i | −0.135806 | + | 0.770192i | ||||
\(205\) | −12.6420 | − | 4.60132i | −0.882957 | − | 0.321370i | ||||
\(206\) | −24.1989 | − | 20.3053i | −1.68602 | − | 1.41474i | ||||
\(207\) | 2.26352 | − | 12.8370i | 0.157325 | − | 0.892237i | ||||
\(208\) | 9.01754 | − | 15.6188i | 0.625254 | − | 1.08297i | ||||
\(209\) | 3.90760 | + | 3.37662i | 0.270295 | + | 0.233566i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.18345 | − | 5.18853i | −0.425686 | − | 0.357193i | 0.404635 | − | 0.914478i | \(-0.367399\pi\) |
−0.830321 | + | 0.557285i | \(0.811843\pi\) | |||||||
\(212\) | 2.25490 | − | 12.7882i | 0.154867 | − | 0.878295i | ||||
\(213\) | −3.46791 | + | 2.90992i | −0.237617 | + | 0.199385i | ||||
\(214\) | −15.8944 | + | 5.78509i | −1.08652 | + | 0.395461i | ||||
\(215\) | −8.98158 | + | 7.53644i | −0.612539 | + | 0.513981i | ||||
\(216\) | −11.1074 | − | 19.2386i | −0.755764 | − | 1.30902i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −18.3366 | + | 15.3863i | −1.24191 | + | 1.04209i | ||||
\(219\) | −0.694593 | − | 3.93923i | −0.0469362 | − | 0.266189i | ||||
\(220\) | −7.04189 | −0.474764 | ||||||||
\(221\) | −5.26991 | + | 9.12776i | −0.354493 | + | 0.614000i | ||||
\(222\) | 5.19846 | − | 4.36203i | 0.348898 | − | 0.292760i | ||||
\(223\) | 2.68732 | − | 15.2405i | 0.179956 | − | 1.02058i | −0.752310 | − | 0.658809i | \(-0.771060\pi\) |
0.932266 | − | 0.361773i | \(-0.117828\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −7.70321 | + | 2.80374i | −0.513547 | + | 0.186916i | ||||
\(226\) | 3.11809 | − | 1.13489i | 0.207412 | − | 0.0754919i | ||||
\(227\) | 4.93629 | + | 8.54990i | 0.327633 | + | 0.567477i | 0.982042 | − | 0.188664i | \(-0.0604157\pi\) |
−0.654409 | + | 0.756141i | \(0.727082\pi\) | |||||||
\(228\) | −9.49660 | − | 8.20616i | −0.628927 | − | 0.543466i | ||||
\(229\) | 10.0594 | − | 17.4234i | 0.664746 | − | 1.15137i | −0.314608 | − | 0.949222i | \(-0.601873\pi\) |
0.979354 | − | 0.202152i | \(-0.0647935\pi\) | |||||||
\(230\) | 13.2344 | + | 11.1050i | 0.872652 | + | 0.732242i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.93330 | + | 27.9781i | 0.323887 | + | 1.83685i | ||||
\(233\) | 2.70780 | + | 2.27211i | 0.177394 | + | 0.148851i | 0.727161 | − | 0.686467i | \(-0.240839\pi\) |
−0.549768 | + | 0.835318i | \(0.685284\pi\) | |||||||
\(234\) | −3.07486 | − | 17.4384i | −0.201010 | − | 1.13998i | ||||
\(235\) | 0.386659 | − | 0.669713i | 0.0252229 | − | 0.0436873i | ||||
\(236\) | −8.68139 | − | 15.0366i | −0.565110 | − | 0.978800i | ||||
\(237\) | 4.90420 | − | 4.11511i | 0.318562 | − | 0.267305i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.98680 | + | 10.3694i | −0.387254 | + | 0.670743i | −0.992079 | − | 0.125615i | \(-0.959910\pi\) |
0.604825 | + | 0.796358i | \(0.293243\pi\) | |||||||
\(240\) | 5.83750 | 0.376809 | ||||||||
\(241\) | −2.24035 | − | 12.7057i | −0.144314 | − | 0.818444i | −0.967916 | − | 0.251276i | \(-0.919150\pi\) |
0.823602 | − | 0.567168i | \(-0.191961\pi\) | |||||||
\(242\) | −22.8332 | + | 8.31061i | −1.46777 | + | 0.534226i | ||||
\(243\) | −13.5360 | − | 4.92669i | −0.868332 | − | 0.316047i | ||||
\(244\) | −18.7271 | + | 6.81612i | −1.19888 | + | 0.436358i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −16.5030 | −1.05219 | ||||||||
\(247\) | −5.77197 | − | 10.3408i | −0.367262 | − | 0.657968i | ||||
\(248\) | 11.7160 | + | 20.2927i | 0.743967 | + | 1.28859i | ||||
\(249\) | −1.39615 | + | 7.91799i | −0.0884777 | + | 0.501782i | ||||
\(250\) | 4.84864 | − | 27.4980i | 0.306655 | − | 1.73913i | ||||
\(251\) | −2.49407 | − | 14.1446i | −0.157424 | − | 0.892798i | −0.956536 | − | 0.291615i | \(-0.905807\pi\) |
0.799112 | − | 0.601183i | \(-0.205304\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.63816 | − | 2.05212i | −0.354468 | − | 0.129016i | ||||
\(254\) | 36.7229 | 2.30420 | ||||||||
\(255\) | −3.41147 | −0.213635 | ||||||||
\(256\) | 28.6634 | + | 10.4326i | 1.79146 | + | 0.652040i | ||||
\(257\) | −0.864370 | − | 4.90209i | −0.0539180 | − | 0.305784i | 0.945908 | − | 0.324435i | \(-0.105174\pi\) |
−0.999826 | + | 0.0186508i | \(0.994063\pi\) | |||||||
\(258\) | −7.19119 | + | 12.4555i | −0.447704 | + | 0.775446i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 15.1741 | + | 5.52293i | 0.941059 | + | 0.342517i | ||||
\(261\) | 9.17412 | + | 7.69800i | 0.567863 | + | 0.476494i | ||||
\(262\) | −38.4222 | + | 32.2401i | −2.37373 | + | 1.99180i | ||||
\(263\) | −18.4179 | − | 15.4544i | −1.13569 | − | 0.952961i | −0.136405 | − | 0.990653i | \(-0.543555\pi\) |
−0.999289 | + | 0.0376922i | \(0.987999\pi\) | |||||||
\(264\) | −4.43717 | + | 1.61500i | −0.273089 | + | 0.0993962i | ||||
\(265\) | 3.96585 | 0.243620 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.58347 | 0.0969070 | ||||||||
\(268\) | 16.1138 | − | 5.86495i | 0.984307 | − | 0.358259i | ||||
\(269\) | 10.0437 | + | 8.42767i | 0.612375 | + | 0.513844i | 0.895396 | − | 0.445270i | \(-0.146892\pi\) |
−0.283021 | + | 0.959114i | \(0.591337\pi\) | |||||||
\(270\) | 9.50774 | − | 7.97794i | 0.578623 | − | 0.485522i | ||||
\(271\) | 20.3537 | + | 17.0788i | 1.23640 | + | 1.03746i | 0.997797 | + | 0.0663443i | \(0.0211336\pi\) |
0.238602 | + | 0.971117i | \(0.423311\pi\) | |||||||
\(272\) | 24.1989 | + | 8.80769i | 1.46728 | + | 0.534045i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.9192 | − | 22.3767i | 0.780478 | − | 1.35183i | ||||
\(275\) | 0.655230 | + | 3.71599i | 0.0395118 | + | 0.224083i | ||||
\(276\) | 13.7023 | + | 4.98724i | 0.824784 | + | 0.300197i | ||||
\(277\) | −16.5107 | −0.992034 | −0.496017 | − | 0.868313i | \(-0.665205\pi\) | ||||
−0.496017 | + | 0.868313i | \(0.665205\pi\) | |||||||
\(278\) | −4.20439 | −0.252163 | ||||||||
\(279\) | 9.28194 | + | 3.37835i | 0.555695 | + | 0.202256i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.36706 | − | 19.0955i | −0.200862 | − | 1.13914i | −0.903820 | − | 0.427913i | \(-0.859249\pi\) |
0.702958 | − | 0.711231i | \(-0.251862\pi\) | |||||||
\(282\) | 0.164725 | − | 0.934204i | 0.00980925 | − | 0.0556310i | ||||
\(283\) | 1.96404 | − | 11.1386i | 0.116750 | − | 0.662123i | −0.869119 | − | 0.494604i | \(-0.835313\pi\) |
0.985869 | − | 0.167519i | \(-0.0535756\pi\) | |||||||
\(284\) | 15.2986 | + | 26.4980i | 0.907805 | + | 1.57236i | ||||
\(285\) | 1.96451 | − | 3.29147i | 0.116367 | − | 0.194970i | ||||
\(286\) | −8.15064 | −0.481958 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −11.1172 | + | 4.04633i | −0.655088 | + | 0.238433i | ||||
\(289\) | 1.83275 | + | 0.667066i | 0.107809 | + | 0.0392392i | ||||
\(290\) | −14.9153 | + | 5.42874i | −0.875859 | + | 0.318787i | ||||
\(291\) | −0.835275 | − | 4.73708i | −0.0489647 | − | 0.277692i | ||||
\(292\) | −27.0351 | −1.58211 | ||||||||
\(293\) | 1.94949 | − | 3.37662i | 0.113891 | − | 0.197264i | −0.803445 | − | 0.595379i | \(-0.797002\pi\) |
0.917336 | + | 0.398115i | \(0.130335\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.06212 | − | 3.40852i | 0.236506 | − | 0.198452i | ||||
\(296\) | −12.5360 | − | 21.7129i | −0.728638 | − | 1.26204i | ||||
\(297\) | −2.15523 | + | 3.73297i | −0.125059 | + | 0.216609i | ||||
\(298\) | −4.92767 | − | 27.9462i | −0.285452 | − | 1.61888i | ||||
\(299\) | 10.5398 | + | 8.84397i | 0.609534 | + | 0.511460i | ||||
\(300\) | −1.59240 | − | 9.03093i | −0.0919370 | − | 0.521401i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 21.4179 | + | 17.9717i | 1.23246 | + | 1.03416i | ||||
\(303\) | 0.708263 | − | 1.22675i | 0.0406887 | − | 0.0704748i | ||||
\(304\) | −22.4329 | + | 18.2757i | −1.28661 | + | 1.04819i | ||||
\(305\) | −3.04323 | − | 5.27103i | −0.174255 | − | 0.301819i | ||||
\(306\) | 23.7592 | − | 8.64766i | 1.35823 | − | 0.494354i | ||||
\(307\) | 21.7777 | − | 7.92642i | 1.24292 | − | 0.452385i | 0.364914 | − | 0.931041i | \(-0.381098\pi\) |
0.878002 | + | 0.478657i | \(0.158876\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.41400 | − | 8.01919i | 0.0804397 | − | 0.456196i | ||||
\(310\) | −10.0287 | + | 8.41507i | −0.569591 | + | 0.477944i | ||||
\(311\) | −1.73055 | + | 2.99740i | −0.0981306 | + | 0.169967i | −0.910911 | − | 0.412603i | \(-0.864620\pi\) |
0.812780 | + | 0.582570i | \(0.197953\pi\) | |||||||
\(312\) | 10.8280 | 0.613015 | ||||||||
\(313\) | 3.97477 | + | 22.5421i | 0.224668 | + | 1.27415i | 0.863320 | + | 0.504657i | \(0.168381\pi\) |
−0.638652 | + | 0.769496i | \(0.720508\pi\) | |||||||
\(314\) | 21.3234 | − | 17.8925i | 1.20335 | − | 1.00973i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −21.6348 | − | 37.4725i | −1.21705 | − | 2.10799i | ||||
\(317\) | 20.0096 | − | 16.7900i | 1.12385 | − | 0.943021i | 0.125056 | − | 0.992150i | \(-0.460089\pi\) |
0.998792 | + | 0.0491289i | \(0.0156445\pi\) | |||||||
\(318\) | 4.57145 | − | 1.66387i | 0.256354 | − | 0.0933053i | ||||
\(319\) | 4.22281 | − | 3.54336i | 0.236432 | − | 0.198390i | ||||
\(320\) | −0.383256 | + | 2.17355i | −0.0214246 | + | 0.121505i | ||||
\(321\) | −3.34002 | − | 2.80261i | −0.186422 | − | 0.156427i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 13.1099 | − | 10.6805i | 0.729456 | − | 0.594277i | ||||
\(324\) | −11.7947 | + | 20.4291i | −0.655263 | + | 1.13495i | ||||
\(325\) | 1.50253 | − | 8.52125i | 0.0833452 | − | 0.472674i | ||||
\(326\) | 12.2836 | + | 10.3072i | 0.680325 | + | 0.570860i | ||||
\(327\) | −5.79813 | − | 2.11035i | −0.320638 | − | 0.116703i | ||||
\(328\) | −10.5876 | + | 60.0455i | −0.584605 | + | 3.31546i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −1.31908 | − | 2.28471i | −0.0726128 | − | 0.125769i | ||||
\(331\) | −9.52229 | − | 16.4931i | −0.523392 | − | 0.906542i | −0.999629 | − | 0.0272251i | \(-0.991333\pi\) |
0.476237 | − | 0.879317i | \(-0.342000\pi\) | |||||||
\(332\) | 51.0642 | + | 18.5859i | 2.80251 | + | 1.02003i | ||||
\(333\) | −9.93154 | − | 3.61479i | −0.544245 | − | 0.198089i | ||||
\(334\) | 17.4440 | + | 30.2139i | 0.954495 | + | 1.65323i | ||||
\(335\) | 2.61856 | + | 4.53547i | 0.143067 | + | 0.247799i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.295445 | − | 1.67555i | 0.0160939 | − | 0.0912731i | −0.975703 | − | 0.219098i | \(-0.929688\pi\) |
0.991797 | + | 0.127825i | \(0.0407996\pi\) | |||||||
\(338\) | −13.3687 | − | 4.86581i | −0.727162 | − | 0.264665i | ||||
\(339\) | 0.655230 | + | 0.549803i | 0.0355872 | + | 0.0298612i | ||||
\(340\) | −4.00387 | + | 22.7071i | −0.217140 | + | 1.23146i | ||||
\(341\) | 2.27332 | − | 3.93750i | 0.123107 | − | 0.213228i | ||||
\(342\) | −5.33837 | + | 27.9032i | −0.288666 | + | 1.50883i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 40.7053 | + | 34.1558i | 2.19468 | + | 1.84156i | ||||
\(345\) | −0.773318 | + | 4.38571i | −0.0416341 | + | 0.236119i | ||||
\(346\) | 48.9718 | − | 41.0923i | 2.63274 | − | 2.20913i | ||||
\(347\) | 4.60607 | − | 1.67647i | 0.247267 | − | 0.0899977i | −0.215414 | − | 0.976523i | \(-0.569110\pi\) |
0.462680 | + | 0.886525i | \(0.346888\pi\) | |||||||
\(348\) | −10.2626 | + | 8.61138i | −0.550135 | + | 0.461618i | ||||
\(349\) | −14.0646 | − | 24.3607i | −0.752863 | − | 1.30400i | −0.946430 | − | 0.322910i | \(-0.895339\pi\) |
0.193566 | − | 0.981087i | \(-0.437994\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.57192 | − | 6.35359i | 0.404159 | − | 0.339130i | ||||
\(352\) | 0.945622 | + | 5.36289i | 0.0504018 | + | 0.285843i | ||||
\(353\) | 8.31996 | 0.442827 | 0.221413 | − | 0.975180i | \(-0.428933\pi\) | ||||
0.221413 | + | 0.975180i | \(0.428933\pi\) | |||||||
\(354\) | 3.25237 | − | 5.63328i | 0.172862 | − | 0.299405i | ||||
\(355\) | −7.15839 | + | 6.00660i | −0.379928 | + | 0.318797i | ||||
\(356\) | 1.85844 | − | 10.5397i | 0.0984972 | − | 0.558605i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 13.8735 | − | 5.04952i | 0.733235 | − | 0.266876i | ||||
\(359\) | −23.4256 | + | 8.52623i | −1.23636 | + | 0.449997i | −0.875770 | − | 0.482729i | \(-0.839646\pi\) |
−0.360587 | + | 0.932726i | \(0.617423\pi\) | |||||||
\(360\) | −10.5876 | − | 18.3383i | −0.558018 | − | 0.966516i | ||||
\(361\) | 2.75537 | + | 18.7991i | 0.145019 | + | 0.989429i | ||||
\(362\) | −17.1702 | + | 29.7397i | −0.902448 | + | 1.56309i | ||||
\(363\) | −4.79813 | − | 4.02611i | −0.251837 | − | 0.211316i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.43376 | − | 8.13127i | −0.0750466 | − | 0.425610i | ||||
\(366\) | −5.71941 | − | 4.79915i | −0.298958 | − | 0.250856i | ||||
\(367\) | 0.449026 | + | 2.54655i | 0.0234390 | + | 0.132929i | 0.994282 | − | 0.106788i | \(-0.0340565\pi\) |
−0.970843 | + | 0.239717i | \(0.922945\pi\) | |||||||
\(368\) | 16.8084 | − | 29.1130i | 0.876198 | − | 1.51762i | ||||
\(369\) | 12.8512 | + | 22.2589i | 0.669005 | + | 1.15875i | ||||
\(370\) | 10.7306 | − | 9.00400i | 0.557855 | − | 0.468096i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −5.52481 | + | 9.56926i | −0.286448 | + | 0.496143i | ||||
\(373\) | −23.3833 | −1.21074 | −0.605371 | − | 0.795943i | \(-0.706975\pi\) | ||||
−0.605371 | + | 0.795943i | \(0.706975\pi\) | |||||||
\(374\) | −2.02094 | − | 11.4613i | −0.104501 | − | 0.592652i | ||||
\(375\) | 6.76352 | − | 2.46172i | 0.349267 | − | 0.127123i | ||||
\(376\) | −3.29339 | − | 1.19869i | −0.169843 | − | 0.0618179i | ||||
\(377\) | −11.8785 | + | 4.32342i | −0.611774 | + | 0.222668i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 25.4388 | 1.30670 | 0.653352 | − | 0.757054i | \(-0.273362\pi\) | ||||
0.653352 | + | 0.757054i | \(0.273362\pi\) | |||||||
\(380\) | −19.6027 | − | 16.9390i | −1.00560 | − | 0.868950i | ||||
\(381\) | 4.73308 | + | 8.19793i | 0.242483 | + | 0.419993i | ||||
\(382\) | 4.52182 | − | 25.6445i | 0.231357 | − | 1.31209i | ||||
\(383\) | 4.77197 | − | 27.0632i | 0.243836 | − | 1.38287i | −0.579343 | − | 0.815084i | \(-0.696691\pi\) |
0.823179 | − | 0.567781i | \(-0.192198\pi\) | |||||||
\(384\) | 1.51202 | + | 8.57510i | 0.0771600 | + | 0.437596i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 32.8371 | + | 11.9517i | 1.67136 | + | 0.608327i | ||||
\(387\) | 22.3996 | 1.13864 | ||||||||
\(388\) | −32.5107 | −1.65048 | ||||||||
\(389\) | 3.14068 | + | 1.14311i | 0.159239 | + | 0.0579582i | 0.420410 | − | 0.907334i | \(-0.361886\pi\) |
−0.261171 | + | 0.965293i | \(0.584109\pi\) | |||||||
\(390\) | 1.05051 | + | 5.95772i | 0.0531945 | + | 0.301681i | ||||
\(391\) | −9.82295 | + | 17.0138i | −0.496768 | + | 0.860427i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −12.1493 | − | 4.42198i | −0.612851 | − | 0.223060i | ||||
\(394\) | 15.4029 | + | 12.9245i | 0.775985 | + | 0.651128i | ||||
\(395\) | 10.1231 | − | 8.49432i | 0.509351 | − | 0.427396i | ||||
\(396\) | 10.3059 | + | 8.64766i | 0.517890 | + | 0.434561i | ||||
\(397\) | −12.3319 | + | 4.48843i | −0.618919 | + | 0.225268i | −0.632401 | − | 0.774641i | \(-0.717931\pi\) |
0.0134823 | + | 0.999909i | \(0.495708\pi\) | |||||||
\(398\) | 68.4552 | 3.43135 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −21.1411 | −1.05706 | ||||||||
\(401\) | −16.0817 | + | 5.85327i | −0.803083 | + | 0.292298i | −0.710763 | − | 0.703431i | \(-0.751650\pi\) |
−0.0923194 | + | 0.995729i | \(0.529428\pi\) | |||||||
\(402\) | 4.92127 | + | 4.12944i | 0.245451 | + | 0.205958i | ||||
\(403\) | −7.98680 | + | 6.70172i | −0.397851 | + | 0.333836i | ||||
\(404\) | −7.33409 | − | 6.15403i | −0.364885 | − | 0.306175i | ||||
\(405\) | −6.76991 | − | 2.46405i | −0.336400 | − | 0.122440i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.43242 | + | 4.21307i | −0.120571 | + | 0.208834i | ||||
\(408\) | 2.68479 | + | 15.2262i | 0.132917 | + | 0.753810i | ||||
\(409\) | −8.26739 | − | 3.00908i | −0.408796 | − | 0.148790i | 0.129433 | − | 0.991588i | \(-0.458684\pi\) |
−0.538229 | + | 0.842799i | \(0.680906\pi\) | |||||||
\(410\) | −34.0651 | −1.68236 | ||||||||
\(411\) | 6.66044 | 0.328535 | ||||||||
\(412\) | −51.7169 | − | 18.8234i | −2.54791 | − | 0.927364i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −5.73143 | − | 32.5046i | −0.281684 | − | 1.59751i | ||||
\(415\) | −2.88191 | + | 16.3441i | −0.141467 | + | 0.802302i | ||||
\(416\) | 2.16843 | − | 12.2978i | 0.106316 | − | 0.602949i | ||||
\(417\) | −0.541889 | − | 0.938579i | −0.0265364 | − | 0.0459624i | ||||
\(418\) | 12.2219 | + | 4.65020i | 0.597794 | + | 0.227449i | ||||
\(419\) | −6.84018 | −0.334165 | −0.167082 | − | 0.985943i | \(-0.553435\pi\) | ||||
−0.167082 | + | 0.985943i | \(0.553435\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.53209 | − | 1.64955i | 0.220880 | − | 0.0803939i | −0.229210 | − | 0.973377i | \(-0.573614\pi\) |
0.450090 | + | 0.892983i | \(0.351392\pi\) | |||||||
\(422\) | −19.2062 | − | 6.99049i | −0.934943 | − | 0.340292i | ||||
\(423\) | −1.38831 | + | 0.505303i | −0.0675018 | + | 0.0245687i | ||||
\(424\) | −3.12108 | − | 17.7005i | −0.151573 | − | 0.859614i | ||||
\(425\) | 12.3550 | 0.599307 | ||||||||
\(426\) | −5.73143 | + | 9.92713i | −0.277689 | + | 0.480971i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −22.5744 | + | 18.9422i | −1.09118 | + | 0.915606i | ||||
\(429\) | −1.05051 | − | 1.81953i | −0.0507190 | − | 0.0878478i | ||||
\(430\) | −14.8439 | + | 25.7104i | −0.715836 | + | 1.23986i | ||||
\(431\) | 0.226377 | + | 1.28385i | 0.0109042 | + | 0.0618407i | 0.989774 | − | 0.142642i | \(-0.0455598\pi\) |
−0.978870 | + | 0.204483i | \(0.934449\pi\) | |||||||
\(432\) | −18.5005 | − | 15.5237i | −0.890104 | − | 0.746886i | ||||
\(433\) | −3.44238 | − | 19.5227i | −0.165430 | − | 0.938202i | −0.948620 | − | 0.316419i | \(-0.897520\pi\) |
0.783189 | − | 0.621783i | \(-0.213591\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −3.13429 | − | 2.62998i | −0.150277 | − | 0.126098i | ||||
\(436\) | −20.8516 | + | 36.1161i | −0.998612 | + | 1.72965i | ||||
\(437\) | −10.7588 | − | 19.2749i | −0.514662 | − | 0.922042i | ||||
\(438\) | −5.06418 | − | 8.77141i | −0.241976 | − | 0.419114i | ||||
\(439\) | −32.4825 | + | 11.8227i | −1.55031 | + | 0.564265i | −0.968489 | − | 0.249055i | \(-0.919880\pi\) |
−0.581817 | + | 0.813320i | \(0.697658\pi\) | |||||||
\(440\) | −9.15910 | + | 3.33364i | −0.436643 | + | 0.158925i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.63429 | + | 26.2823i | −0.220430 | + | 1.25012i | ||||
\(443\) | 13.0305 | − | 10.9339i | 0.619098 | − | 0.519485i | −0.278422 | − | 0.960459i | \(-0.589811\pi\) |
0.897520 | + | 0.440974i | \(0.145367\pi\) | |||||||
\(444\) | 5.91147 | − | 10.2390i | 0.280546 | − | 0.485920i | ||||
\(445\) | 3.26857 | 0.154945 | ||||||||
\(446\) | −6.80453 | − | 38.5904i | −0.322204 | − | 1.82731i | ||||
\(447\) | 5.60354 | − | 4.70193i | 0.265038 | − | 0.222394i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.7049 | − | 32.3978i | −0.882737 | − | 1.52895i | −0.848286 | − | 0.529539i | \(-0.822365\pi\) |
−0.0344512 | − | 0.999406i | \(-0.510968\pi\) | |||||||
\(450\) | −15.9008 | + | 13.3424i | −0.749571 | + | 0.628965i | ||||
\(451\) | 11.1172 | − | 4.04633i | 0.523489 | − | 0.190534i | ||||
\(452\) | 4.42855 | − | 3.71599i | 0.208301 | − | 0.174786i | ||||
\(453\) | −1.25150 | + | 7.09759i | −0.0588004 | + | 0.333474i | ||||
\(454\) | 19.1498 | + | 16.0686i | 0.898743 | + | 0.754135i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −16.2366 | − | 6.17771i | −0.760351 | − | 0.289298i | ||||
\(457\) | −4.55556 | + | 7.89046i | −0.213100 | + | 0.369100i | −0.952683 | − | 0.303965i | \(-0.901689\pi\) |
0.739583 | + | 0.673065i | \(0.235023\pi\) | |||||||
\(458\) | 8.84611 | − | 50.1688i | 0.413352 | − | 2.34423i | ||||
\(459\) | 10.8118 | + | 9.07218i | 0.504652 | + | 0.423453i | ||||
\(460\) | 28.2841 | + | 10.2946i | 1.31875 | + | 0.479986i | ||||
\(461\) | 4.24540 | − | 24.0769i | 0.197728 | − | 1.12137i | −0.710751 | − | 0.703443i | \(-0.751645\pi\) |
0.908480 | − | 0.417929i | \(-0.137244\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.125362 | + | 0.217134i | 0.00582609 | + | 0.0100911i | 0.868924 | − | 0.494946i | \(-0.164812\pi\) |
−0.863098 | + | 0.505037i | \(0.831479\pi\) | |||||||
\(464\) | 15.4427 | + | 26.7475i | 0.716909 | + | 1.24172i | ||||
\(465\) | −3.17112 | − | 1.15419i | −0.147057 | − | 0.0535245i | ||||
\(466\) | 8.41060 | + | 3.06121i | 0.389613 | + | 0.141808i | ||||
\(467\) | 7.68092 | + | 13.3037i | 0.355431 | + | 0.615624i | 0.987192 | − | 0.159539i | \(-0.0510009\pi\) |
−0.631761 | + | 0.775163i | \(0.717668\pi\) | |||||||
\(468\) | −15.4251 | − | 26.7171i | −0.713028 | − | 1.23500i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0.340022 | − | 1.92836i | 0.0156841 | − | 0.0889487i | ||||
\(471\) | 6.74257 | + | 2.45410i | 0.310681 | + | 0.113079i | ||||
\(472\) | −18.4099 | − | 15.4477i | −0.847383 | − | 0.711039i | ||||
\(473\) | 1.79039 | − | 10.1538i | 0.0823223 | − | 0.466873i | ||||
\(474\) | 8.10519 | − | 14.0386i | 0.372284 | − | 0.644814i | ||||
\(475\) | −7.11468 | + | 11.9204i | −0.326444 | + | 0.546946i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.80406 | − | 4.87019i | −0.265750 | − | 0.222991i | ||||
\(478\) | −5.26470 | + | 29.8576i | −0.240802 | + | 1.36565i | ||||
\(479\) | 0.550974 | − | 0.462322i | 0.0251746 | − | 0.0211240i | −0.630114 | − | 0.776503i | \(-0.716992\pi\) |
0.655288 | + | 0.755379i | \(0.272547\pi\) | |||||||
\(480\) | 3.79813 | − | 1.38241i | 0.173360 | − | 0.0630980i | ||||
\(481\) | 8.54576 | − | 7.17074i | 0.389653 | − | 0.326958i | ||||
\(482\) | −16.3341 | − | 28.2915i | −0.743998 | − | 1.28864i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −32.4295 | + | 27.2116i | −1.47407 | + | 1.23689i | ||||
\(485\) | −1.72416 | − | 9.77817i | −0.0782899 | − | 0.444004i | ||||
\(486\) | −36.4739 | −1.65449 | ||||||||
\(487\) | −5.87346 | + | 10.1731i | −0.266152 | + | 0.460988i | −0.967865 | − | 0.251471i | \(-0.919086\pi\) |
0.701713 | + | 0.712460i | \(0.252419\pi\) | |||||||
\(488\) | −21.1309 | + | 17.7309i | −0.956550 | + | 0.802641i | ||||
\(489\) | −0.717759 | + | 4.07061i | −0.0324582 | + | 0.184079i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.0834734 | + | 0.0303818i | −0.00376710 | + | 0.00137111i | −0.343903 | − | 0.939005i | \(-0.611749\pi\) |
0.340136 | + | 0.940376i | \(0.389527\pi\) | |||||||
\(492\) | −27.0180 | + | 9.83375i | −1.21807 | + | 0.443340i | ||||
\(493\) | −9.02481 | − | 15.6314i | −0.406457 | − | 0.704005i | ||||
\(494\) | −22.6891 | − | 19.6060i | −1.02083 | − | 0.882117i | ||||
\(495\) | −2.05438 | + | 3.55829i | −0.0923374 | + | 0.159933i | ||||
\(496\) | 19.5141 | + | 16.3743i | 0.876211 | + | 0.735228i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 3.53519 | + | 20.0490i | 0.158416 | + | 0.898419i | ||||
\(499\) | 11.2536 | + | 9.44285i | 0.503778 | + | 0.422720i | 0.858934 | − | 0.512087i | \(-0.171128\pi\) |
−0.355155 | + | 0.934807i | \(0.615572\pi\) | |||||||
\(500\) | −8.44743 | − | 47.9078i | −0.377781 | − | 2.14250i | ||||
\(501\) | −4.49660 | + | 7.78833i | −0.200893 | + | 0.347957i | ||||
\(502\) | −18.1839 | − | 31.4955i | −0.811588 | − | 1.40571i | ||||
\(503\) | 3.75671 | − | 3.15225i | 0.167503 | − | 0.140552i | −0.555183 | − | 0.831728i | \(-0.687352\pi\) |
0.722686 | + | 0.691176i | \(0.242907\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.46198 | − | 2.53223i | 0.0650573 | − | 0.112683i | ||||
\(506\) | −15.1925 | −0.675390 | ||||||||
\(507\) | −0.636812 | − | 3.61154i | −0.0282818 | − | 0.160394i | ||||
\(508\) | 60.1211 | − | 21.8823i | 2.66744 | − | 0.970870i | ||||
\(509\) | 6.02704 | + | 2.19366i | 0.267144 | + | 0.0972324i | 0.472119 | − | 0.881535i | \(-0.343489\pi\) |
−0.204975 | + | 0.978767i | \(0.565711\pi\) | |||||||
\(510\) | −8.11721 | + | 2.95442i | −0.359436 | + | 0.130824i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 50.5553 | 2.23425 | ||||||||
\(513\) | −14.9791 | + | 5.20723i | −0.661341 | + | 0.229905i | ||||
\(514\) | −6.30200 | − | 10.9154i | −0.277969 | − | 0.481457i | ||||
\(515\) | 2.91875 | − | 16.5530i | 0.128615 | − | 0.729414i | ||||
\(516\) | −4.35117 | + | 24.6767i | −0.191549 | + | 1.08633i | ||||
\(517\) | 0.118089 | + | 0.669713i | 0.00519353 | + | 0.0294540i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 15.4851 | + | 5.63613i | 0.679723 | + | 0.247399i | ||||
\(520\) | 22.3509 | 0.980153 | ||||||||
\(521\) | 35.8135 | 1.56902 | 0.784508 | − | 0.620119i | \(-0.212916\pi\) | ||||
0.784508 | + | 0.620119i | \(0.212916\pi\) | |||||||
\(522\) | 28.4954 | + | 10.3715i | 1.24721 | + | 0.453947i | ||||
\(523\) | −6.73277 | − | 38.1835i | −0.294404 | − | 1.66965i | −0.669616 | − | 0.742707i | \(-0.733541\pi\) |
0.375213 | − | 0.926939i | \(-0.377570\pi\) | |||||||
\(524\) | −43.6921 | + | 75.6770i | −1.90870 | + | 3.30596i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −57.2071 | − | 20.8217i | −2.49435 | − | 0.907869i | ||||
\(527\) | −11.4042 | − | 9.56926i | −0.496775 | − | 0.416844i | ||||
\(528\) | −3.93242 | + | 3.29969i | −0.171137 | + | 0.143601i | ||||
\(529\) | 2.02687 | + | 1.70075i | 0.0881250 | + | 0.0739456i | ||||
\(530\) | 9.43629 | − | 3.43453i | 0.409886 | − | 0.149186i | ||||
\(531\) | −10.1307 | −0.439636 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −27.1293 | −1.17510 | ||||||||
\(534\) | 3.76769 | − | 1.37133i | 0.163044 | − | 0.0593432i | ||||
\(535\) | −6.89440 | − | 5.78509i | −0.298071 | − | 0.250111i | ||||
\(536\) | 18.1821 | − | 15.2566i | 0.785347 | − | 0.658985i | ||||
\(537\) | 2.91534 | + | 2.44626i | 0.125806 | + | 0.105564i | ||||
\(538\) | 31.1964 | + | 11.3546i | 1.34497 | + | 0.489530i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 10.8118 | − | 18.7266i | 0.465266 | − | 0.805864i | ||||
\(541\) | 1.64796 | + | 9.34602i | 0.0708512 | + | 0.401817i | 0.999522 | + | 0.0309122i | \(0.00984123\pi\) |
−0.928671 | + | 0.370905i | \(0.879048\pi\) | |||||||
\(542\) | 63.2199 | + | 23.0102i | 2.71553 | + | 0.988372i | ||||
\(543\) | −8.85204 | −0.379878 | ||||||||
\(544\) | 17.8307 | 0.764484 | ||||||||
\(545\) | −11.9684 | − | 4.35613i | −0.512669 | − | 0.186596i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.46791 | + | 13.9962i | 0.105520 | + | 0.598435i | 0.991011 | + | 0.133779i | \(0.0427111\pi\) |
−0.885491 | + | 0.464657i | \(0.846178\pi\) | |||||||
\(548\) | 7.81702 | − | 44.3325i | 0.333926 | − | 1.89379i | ||||
\(549\) | −2.01919 | + | 11.4514i | −0.0861769 | + | 0.488734i | ||||
\(550\) | 4.77719 | + | 8.27433i | 0.203700 | + | 0.352819i | ||||
\(551\) | 20.2785 | + | 0.294064i | 0.863895 | + | 0.0125275i | ||||
\(552\) | 20.1830 | 0.859047 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −39.2854 | + | 14.2987i | −1.66908 | + | 0.607494i | ||||
\(555\) | 3.39306 | + | 1.23497i | 0.144027 | + | 0.0524216i | ||||
\(556\) | −6.88326 | + | 2.50530i | −0.291915 | + | 0.106248i | ||||
\(557\) | 3.91400 | + | 22.1974i | 0.165842 | + | 0.940534i | 0.948193 | + | 0.317696i | \(0.102909\pi\) |
−0.782351 | + | 0.622838i | \(0.785980\pi\) | |||||||
\(558\) | 25.0110 | 1.05880 | ||||||||
\(559\) | −11.8216 | + | 20.4756i | −0.500001 | + | 0.866026i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.29813 | − | 1.92836i | 0.0970273 | − | 0.0814155i | ||||
\(562\) | −24.5488 | − | 42.5197i | −1.03553 | − | 1.79358i | ||||
\(563\) | −21.4859 | + | 37.2147i | −0.905524 | + | 1.56841i | −0.0853106 | + | 0.996354i | \(0.527188\pi\) |
−0.820213 | + | 0.572058i | \(0.806145\pi\) | |||||||
\(564\) | −0.286989 | − | 1.62760i | −0.0120844 | − | 0.0685341i | ||||
\(565\) | 1.35251 | + | 1.13489i | 0.0569006 | + | 0.0477452i | ||||
\(566\) | −4.97313 | − | 28.2040i | −0.209036 | − | 1.18550i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 32.4424 | + | 27.2224i | 1.36125 | + | 1.14223i | ||||
\(569\) | −3.71348 | + | 6.43193i | −0.155677 | + | 0.269641i | −0.933305 | − | 0.359084i | \(-0.883089\pi\) |
0.777628 | + | 0.628724i | \(0.216423\pi\) | |||||||
\(570\) | 1.82383 | − | 9.53298i | 0.0763916 | − | 0.399293i | ||||
\(571\) | −2.02229 | − | 3.50271i | −0.0846301 | − | 0.146584i | 0.820603 | − | 0.571498i | \(-0.193638\pi\) |
−0.905234 | + | 0.424914i | \(0.860304\pi\) | |||||||
\(572\) | −13.3439 | + | 4.85678i | −0.557936 | + | 0.203072i | ||||
\(573\) | 6.30763 | − | 2.29579i | 0.263505 | − | 0.0959080i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.80066 | − | 15.8833i | 0.116796 | − | 0.662381i | ||||
\(576\) | 3.23009 | − | 2.71036i | 0.134587 | − | 0.112932i | ||||
\(577\) | 1.61721 | − | 2.80109i | 0.0673254 | − | 0.116611i | −0.830398 | − | 0.557171i | \(-0.811887\pi\) |
0.897723 | + | 0.440560i | \(0.145220\pi\) | |||||||
\(578\) | 4.93851 | 0.205415 | ||||||||
\(579\) | 1.56418 | + | 8.87089i | 0.0650050 | + | 0.368662i | ||||
\(580\) | −21.1839 | + | 17.7754i | −0.879614 | + | 0.738084i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −6.08987 | − | 10.5480i | −0.252433 | − | 0.437227i | ||||
\(583\) | −2.67159 | + | 2.24173i | −0.110646 | + | 0.0928429i | ||||
\(584\) | −35.1634 | + | 12.7984i | −1.45507 | + | 0.529603i | ||||
\(585\) | 7.21760 | − | 6.05628i | 0.298411 | − | 0.250396i | ||||
\(586\) | 1.71436 | − | 9.72259i | 0.0708194 | − | 0.401637i | ||||
\(587\) | 31.2610 | + | 26.2311i | 1.29028 | + | 1.08267i | 0.991738 | + | 0.128279i | \(0.0409452\pi\) |
0.298543 | + | 0.954396i | \(0.403499\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.7998 | − | 5.49254i | 0.651019 | − | 0.226316i | ||||
\(590\) | 6.71348 | − | 11.6281i | 0.276390 | − | 0.478721i | ||||
\(591\) | −0.900025 | + | 5.10430i | −0.0370221 | + | 0.209963i | ||||
\(592\) | −20.8799 | − | 17.5203i | −0.858157 | − | 0.720079i | ||||
\(593\) | −10.3969 | − | 3.78417i | −0.426951 | − | 0.155397i | 0.119602 | − | 0.992822i | \(-0.461838\pi\) |
−0.546553 | + | 0.837425i | \(0.684060\pi\) | |||||||
\(594\) | −1.89528 | + | 10.7487i | −0.0777642 | + | 0.441023i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −24.7199 | − | 42.8161i | −1.01257 | − | 1.75381i | ||||
\(597\) | 8.82295 | + | 15.2818i | 0.361099 | + | 0.625442i | ||||
\(598\) | 32.7374 | + | 11.9154i | 1.33873 | + | 0.487259i | ||||
\(599\) | 41.8705 | + | 15.2396i | 1.71078 | + | 0.622674i | 0.996979 | − | 0.0776714i | \(-0.0247485\pi\) |
0.713804 | + | 0.700346i | \(0.246971\pi\) | |||||||
\(600\) | −6.34642 | − | 10.9923i | −0.259091 | − | 0.448760i | ||||
\(601\) | −2.49953 | − | 4.32932i | −0.101958 | − | 0.176597i | 0.810533 | − | 0.585693i | \(-0.199177\pi\) |
−0.912491 | + | 0.409096i | \(0.865844\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.73742 | − | 9.85337i | 0.0707530 | − | 0.401260i | ||||
\(604\) | 45.7734 | + | 16.6601i | 1.86249 | + | 0.677892i | ||||
\(605\) | −9.90420 | − | 8.31061i | −0.402663 | − | 0.337874i | ||||
\(606\) | 0.622836 | − | 3.53228i | 0.0253010 | − | 0.143489i | ||||
\(607\) | −15.5940 | + | 27.0097i | −0.632943 | + | 1.09629i | 0.354004 | + | 0.935244i | \(0.384820\pi\) |
−0.986947 | + | 0.161045i | \(0.948514\pi\) | |||||||
\(608\) | −10.2679 | + | 17.2035i | −0.416417 | + | 0.697692i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −11.8059 | − | 9.90630i | −0.478006 | − | 0.401095i | ||||
\(611\) | 0.270792 | − | 1.53574i | 0.0109551 | − | 0.0621293i | ||||
\(612\) | 33.7447 | − | 28.3152i | 1.36405 | − | 1.14457i | ||||
\(613\) | −15.3824 | + | 5.59873i | −0.621288 | + | 0.226130i | −0.633435 | − | 0.773796i | \(-0.718356\pi\) |
0.0121468 | + | 0.999926i | \(0.496133\pi\) | |||||||
\(614\) | 44.9530 | − | 37.7200i | 1.81415 | − | 1.52226i | ||||
\(615\) | −4.39053 | − | 7.60462i | −0.177043 | − | 0.306648i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 12.3014 | − | 10.3221i | 0.495235 | − | 0.415551i | −0.360663 | − | 0.932696i | \(-0.617450\pi\) |
0.855898 | + | 0.517145i | \(0.173005\pi\) | |||||||
\(618\) | −3.58037 | − | 20.3053i | −0.144024 | − | 0.816799i | ||||
\(619\) | −23.8425 | −0.958313 | −0.479156 | − | 0.877730i | \(-0.659057\pi\) | ||||
−0.479156 | + | 0.877730i | \(0.659057\pi\) | |||||||
\(620\) | −11.4042 | + | 19.7527i | −0.458004 | + | 0.793286i | ||||
\(621\) | 14.1138 | − | 11.8429i | 0.566368 | − | 0.475239i | ||||
\(622\) | −1.52182 | + | 8.63068i | −0.0610195 | + | 0.346059i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 11.0617 | − | 4.02611i | 0.442820 | − | 0.161173i | ||||
\(625\) | −1.00253 | + | 0.364890i | −0.0401010 | + | 0.0145956i | ||||
\(626\) | 28.9795 | + | 50.1940i | 1.15825 | + | 2.00616i | ||||
\(627\) | 0.537141 | + | 3.32774i | 0.0214514 | + | 0.132897i | ||||
\(628\) | 24.2481 | − | 41.9989i | 0.967604 | − | 1.67594i | ||||
\(629\) | 12.2023 | + | 10.2390i | 0.486539 | + | 0.408255i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.72874 | + | 21.1467i | 0.148439 | + | 0.841838i | 0.964541 | + | 0.263931i | \(0.0850193\pi\) |
−0.816103 | + | 0.577907i | \(0.803870\pi\) | |||||||
\(632\) | −45.8790 | − | 38.4970i | −1.82497 | − | 1.53133i | ||||
\(633\) | −0.914878 | − | 5.18853i | −0.0363631 | − | 0.206226i | ||||
\(634\) | 33.0699 | − | 57.2787i | 1.31337 | − | 2.27483i | ||||
\(635\) | 9.76991 | + | 16.9220i | 0.387707 | + | 0.671529i | ||||
\(636\) | 6.49273 | − | 5.44804i | 0.257453 | − | 0.216029i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 6.97906 | − | 12.0881i | 0.276303 | − | 0.478572i | ||||
\(639\) | 17.8527 | 0.706240 | ||||||||
\(640\) | 3.12108 | + | 17.7005i | 0.123372 | + | 0.699675i | ||||
\(641\) | −11.9846 | + | 4.36203i | −0.473362 | + | 0.172290i | −0.567675 | − | 0.823253i | \(-0.692157\pi\) |
0.0943126 | + | 0.995543i | \(0.469935\pi\) | |||||||
\(642\) | −10.3743 | − | 3.77595i | −0.409442 | − | 0.149025i | ||||
\(643\) | 26.8828 | − | 9.78456i | 1.06016 | − | 0.385865i | 0.247669 | − | 0.968845i | \(-0.420335\pi\) |
0.812487 | + | 0.582979i | \(0.198113\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −7.65270 | −0.301325 | ||||||||
\(646\) | 21.9440 | − | 36.7665i | 0.863376 | − | 1.44656i | ||||
\(647\) | 8.35638 | + | 14.4737i | 0.328523 | + | 0.569019i | 0.982219 | − | 0.187738i | \(-0.0601157\pi\) |
−0.653696 | + | 0.756757i | \(0.726782\pi\) | |||||||
\(648\) | −5.66978 | + | 32.1549i | −0.222730 | + | 1.26316i | ||||
\(649\) | −0.809745 | + | 4.59229i | −0.0317853 | + | 0.180263i | ||||
\(650\) | −3.80453 | − | 21.5766i | −0.149226 | − | 0.846302i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 26.2520 | + | 9.55493i | 1.02811 | + | 0.374200i | ||||
\(653\) | 27.0000 | 1.05659 | 0.528296 | − | 0.849060i | \(-0.322831\pi\) | ||||
0.528296 | + | 0.849060i | \(0.322831\pi\) | |||||||
\(654\) | −15.6236 | −0.610931 | ||||||||
\(655\) | −25.0783 | − | 9.12776i | −0.979891 | − | 0.356651i | ||||
\(656\) | 11.5103 | + | 65.2780i | 0.449400 | + | 2.54868i | ||||
\(657\) | −7.88713 | + | 13.6609i | −0.307706 | + | 0.532963i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 41.2533 | + | 15.0150i | 1.60700 | + | 0.584900i | 0.980844 | − | 0.194797i | \(-0.0624047\pi\) |
0.626157 | + | 0.779697i | \(0.284627\pi\) | |||||||
\(660\) | −3.52094 | − | 2.95442i | −0.137053 | − | 0.115001i | ||||
\(661\) | 8.23964 | − | 6.91388i | 0.320485 | − | 0.268919i | −0.468325 | − | 0.883556i | \(-0.655142\pi\) |
0.788809 | + | 0.614638i | \(0.210698\pi\) | |||||||
\(662\) | −36.9406 | − | 30.9969i | −1.43574 | − | 1.20473i | ||||
\(663\) | −6.46451 | + | 2.35289i | −0.251061 | + | 0.0913786i | ||||
\(664\) | 75.2158 | 2.91894 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −26.7615 | −1.03699 | ||||||||
\(667\) | −22.1411 | + | 8.05872i | −0.857309 | + | 0.312035i | ||||
\(668\) | 46.5624 | + | 39.0705i | 1.80155 | + | 1.51168i | ||||
\(669\) | 7.73783 | − | 6.49281i | 0.299162 | − | 0.251026i | ||||
\(670\) | 10.1584 | + | 8.52390i | 0.392453 | + | 0.329307i | ||||
\(671\) | 5.02956 | + | 1.83061i | 0.194164 | + | 0.0706700i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.32888 | + | 4.03374i | −0.0897717 | + | 0.155489i | −0.907415 | − | 0.420237i | \(-0.861947\pi\) |
0.817643 | + | 0.575726i | \(0.195280\pi\) | |||||||
\(674\) | −0.748093 | − | 4.24265i | −0.0288155 | − | 0.163421i | ||||
\(675\) | −10.8880 | − | 3.96291i | −0.419079 | − | 0.152532i | ||||
\(676\) | −24.7861 | −0.953312 | ||||||||
\(677\) | −3.26857 | −0.125621 | −0.0628107 | − | 0.998025i | \(-0.520006\pi\) | ||||
−0.0628107 | + | 0.998025i | \(0.520006\pi\) | |||||||
\(678\) | 2.03519 | + | 0.740748i | 0.0781609 | + | 0.0284482i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 5.54189 | + | 31.4296i | 0.212522 | + | 1.20527i | ||||
\(681\) | −1.11897 | + | 6.34597i | −0.0428789 | + | 0.243178i | ||||
\(682\) | 1.99912 | − | 11.3376i | 0.0765504 | − | 0.434139i | ||||
\(683\) | −3.10947 | − | 5.38576i | −0.118981 | − | 0.206080i | 0.800383 | − | 0.599488i | \(-0.204629\pi\) |
−0.919364 | + | 0.393408i | \(0.871296\pi\) | |||||||
\(684\) | 7.88713 | + | 48.8630i | 0.301572 | + | 1.86832i | ||||
\(685\) | 13.7483 | 0.525297 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 12.3397 | − | 4.49129i | 0.470790 | − | 0.171353i | ||||
\(688\) | 54.2836 | + | 19.7576i | 2.06954 | + | 0.753253i | ||||
\(689\) | 7.51501 | − | 2.73524i | 0.286299 | − | 0.104204i | ||||
\(690\) | 1.95811 | + | 11.1050i | 0.0745440 | + | 0.422760i | ||||
\(691\) | −22.2175 | −0.845194 | −0.422597 | − | 0.906318i | \(-0.638881\pi\) | ||||
−0.422597 | + | 0.906318i | \(0.638881\pi\) | |||||||
\(692\) | 55.6887 | − | 96.4557i | 2.11697 | − | 3.66670i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.50774 | − | 7.97794i | 0.360909 | − | 0.302839i | ||||
\(695\) | −1.11856 | − | 1.93739i | −0.0424292 | − | 0.0734896i | ||||
\(696\) | −9.27156 | + | 16.0588i | −0.351438 | + | 0.608708i | ||||
\(697\) | −6.72668 | − | 38.1489i | −0.254791 | − | 1.44499i | ||||
\(698\) | −54.5622 | − | 45.7831i | −2.06521 | − | 1.73292i | ||||
\(699\) | 0.400634 | + | 2.27211i | 0.0151534 | + | 0.0859391i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −21.2750 | − | 17.8518i | −0.803544 | − | 0.674254i | 0.145513 | − | 0.989356i | \(-0.453517\pi\) |
−0.949058 | + | 0.315102i | \(0.897961\pi\) | |||||||
\(702\) | 12.5141 | − | 21.6751i | 0.472316 | − | 0.818075i | ||||
\(703\) | −16.9055 | + | 5.87695i | −0.637605 | + | 0.221653i | ||||
\(704\) | −0.970437 | − | 1.68085i | −0.0365747 | − | 0.0633493i | ||||
\(705\) | 0.474308 | − | 0.172634i | 0.0178635 | − | 0.00650177i | ||||
\(706\) | 19.7964 | − | 7.20529i | 0.745047 | − | 0.271175i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 1.96791 | − | 11.1606i | 0.0739586 | − | 0.419440i | ||||
\(709\) | −4.67886 | + | 3.92603i | −0.175718 | + | 0.147445i | −0.726405 | − | 0.687267i | \(-0.758810\pi\) |
0.550687 | + | 0.834712i | \(0.314366\pi\) | |||||||
\(710\) | −11.8307 | + | 20.4914i | −0.443998 | + | 0.769027i | ||||
\(711\) | −25.2466 | −0.946822 | ||||||||
\(712\) | −2.57233 | − | 14.5884i | −0.0964021 | − | 0.546724i | ||||
\(713\) | −14.8871 | + | 12.4918i | −0.557527 | + | 0.467821i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.16843 | − | 3.75584i | −0.0810948 | − | 0.140460i | ||||
\(716\) | 19.7041 | − | 16.5337i | 0.736378 | − | 0.617895i | ||||
\(717\) | −7.34389 | + | 2.67296i | −0.274263 | + | 0.0998235i | ||||
\(718\) | −48.3546 | + | 40.5743i | −1.80458 | + | 1.51422i | ||||
\(719\) | −6.72432 | + | 38.1355i | −0.250775 | + | 1.42221i | 0.555915 | + | 0.831239i | \(0.312368\pi\) |
−0.806690 | + | 0.590975i | \(0.798743\pi\) | |||||||
\(720\) | −17.6348 | − | 14.7973i | −0.657208 | − | 0.551463i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 22.8366 | + | 42.3442i | 0.849891 | + | 1.57589i | ||||
\(723\) | 4.21048 | − | 7.29277i | 0.156590 | − | 0.271221i | ||||
\(724\) | −10.3892 | + | 58.9200i | −0.386111 | + | 2.18974i | ||||
\(725\) | 11.3512 | + | 9.52476i | 0.421572 | + | 0.353741i | ||||
\(726\) | −14.9033 | − | 5.42437i | −0.553114 | − | 0.201317i | ||||
\(727\) | 1.92366 | − | 10.9096i | 0.0713445 | − | 0.404615i | −0.928132 | − | 0.372252i | \(-0.878586\pi\) |
0.999476 | − | 0.0323628i | \(-0.0103032\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 3.31996 | + | 5.75033i | 0.122961 | + | 0.212975i | ||||
\(730\) | −10.4534 | − | 18.1058i | −0.386896 | − | 0.670124i | ||||
\(731\) | −31.7237 | − | 11.5465i | −1.17335 | − | 0.427063i | ||||
\(732\) | −12.2233 | − | 4.44891i | −0.451785 | − | 0.164436i | ||||
\(733\) | −7.90373 | − | 13.6897i | −0.291931 | − | 0.505639i | 0.682335 | − | 0.731039i | \(-0.260964\pi\) |
−0.974266 | + | 0.225400i | \(0.927631\pi\) | |||||||
\(734\) | 3.27379 | + | 5.67036i | 0.120838 | + | 0.209297i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.04189 | − | 22.9227i | 0.148986 | − | 0.844942i | ||||
\(737\) | −4.32770 | − | 1.57515i | −0.159413 | − | 0.0580215i | ||||
\(738\) | 49.8546 | + | 41.8330i | 1.83517 | + | 1.53989i | ||||
\(739\) | 0.269037 | − | 1.52579i | 0.00989670 | − | 0.0561270i | −0.979459 | − | 0.201641i | \(-0.935373\pi\) |
0.989356 | + | 0.145514i | \(0.0464836\pi\) | |||||||
\(740\) | 12.2023 | − | 21.1351i | 0.448567 | − | 0.776940i | ||||
\(741\) | 1.45249 | − | 7.59202i | 0.0533584 | − | 0.278900i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 29.2349 | + | 24.5310i | 1.07252 | + | 0.899955i | 0.995279 | − | 0.0970576i | \(-0.0309431\pi\) |
0.0772453 | + | 0.997012i | \(0.475388\pi\) | |||||||
\(744\) | −2.65580 | + | 15.0618i | −0.0973664 | + | 0.552193i | ||||
\(745\) | 11.5667 | − | 9.70562i | 0.423771 | − | 0.355586i | ||||
\(746\) | −55.6379 | + | 20.2505i | −2.03705 | + | 0.741425i | ||||
\(747\) | 24.2888 | − | 20.3807i | 0.888681 | − | 0.745692i | ||||
\(748\) | −10.1382 | − | 17.5598i | −0.370688 | − | 0.642050i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 13.9611 | − | 11.7148i | 0.509787 | − | 0.427762i | ||||
\(751\) | −4.40167 | − | 24.9631i | −0.160619 | − | 0.910918i | −0.953467 | − | 0.301498i | \(-0.902513\pi\) |
0.792848 | − | 0.609420i | \(-0.208598\pi\) | |||||||
\(752\) | −3.81016 | −0.138942 | ||||||||
\(753\) | 4.68732 | − | 8.11867i | 0.170815 | − | 0.295861i | ||||
\(754\) | −24.5194 | + | 20.5742i | −0.892942 | + | 0.749267i | ||||
\(755\) | −2.58331 | + | 14.6507i | −0.0940163 | + | 0.533193i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −39.8153 | + | 14.4916i | −1.44711 | + | 0.526705i | −0.941783 | − | 0.336222i | \(-0.890851\pi\) |
−0.505328 | + | 0.862927i | \(0.668628\pi\) | |||||||
\(758\) | 60.5287 | − | 22.0307i | 2.19850 | − | 0.800190i | ||||
\(759\) | −1.95811 | − | 3.39155i | −0.0710749 | − | 0.123105i | ||||
\(760\) | −33.5153 | − | 12.7519i | −1.21573 | − | 0.462560i | ||||
\(761\) | −1.42855 | + | 2.47432i | −0.0517848 | + | 0.0896940i | −0.890756 | − | 0.454482i | \(-0.849824\pi\) |
0.838971 | + | 0.544176i | \(0.183158\pi\) | |||||||
\(762\) | 18.3614 | + | 15.4071i | 0.665165 | + | 0.558139i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −7.87804 | − | 44.6786i | −0.285018 | − | 1.61641i | ||||
\(765\) | 10.3059 | + | 8.64766i | 0.372610 | + | 0.312657i | ||||
\(766\) | −12.0831 | − | 68.5265i | −0.436579 | − | 2.47596i | ||||
\(767\) | 5.34658 | − | 9.26055i | 0.193054 | − | 0.334379i | ||||
\(768\) | 9.95471 | + | 17.2421i | 0.359210 | + | 0.622169i | ||||
\(769\) | −14.6472 | + | 12.2905i | −0.528193 | + | 0.443207i | −0.867477 | − | 0.497477i | \(-0.834260\pi\) |
0.339284 | + | 0.940684i | \(0.389815\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.62449 | − | 2.81369i | 0.0585044 | − | 0.101333i | ||||
\(772\) | 60.8813 | 2.19116 | ||||||||
\(773\) | −0.436700 | − | 2.47665i | −0.0157070 | − | 0.0890788i | 0.975947 | − | 0.218010i | \(-0.0699565\pi\) |
−0.991654 | + | 0.128931i | \(0.958845\pi\) | |||||||
\(774\) | 53.2973 | − | 19.3986i | 1.91573 | − | 0.697270i | ||||
\(775\) | 11.4846 | + | 4.18004i | 0.412538 | + | 0.150152i | ||||
\(776\) | −42.2854 | + | 15.3906i | −1.51796 | + | 0.552491i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 8.46286 | 0.303408 | ||||||||
\(779\) | 40.6805 | + | 15.4781i | 1.45753 | + | 0.554561i | ||||
\(780\) | 5.26991 | + | 9.12776i | 0.188693 | + | 0.326826i | ||||
\(781\) | 1.42696 | − | 8.09267i | 0.0510605 | − | 0.289578i | ||||
\(782\) | −8.63816 | + | 48.9894i | −0.308900 | + | 1.75186i | ||||
\(783\) | 2.93939 | + | 16.6701i | 0.105045 | + | 0.595741i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 13.9179 | + | 5.06569i | 0.496750 | + | 0.180802i | ||||
\(786\) | −32.7374 | −1.16770 | ||||||||
\(787\) | −2.72605 | −0.0971733 | −0.0485866 | − | 0.998819i | \(-0.515472\pi\) | ||||
−0.0485866 | + | 0.998819i | \(0.515472\pi\) | |||||||
\(788\) | 32.9183 | + | 11.9813i | 1.17267 | + | 0.426816i | ||||
\(789\) | −2.72503 | − | 15.4544i | −0.0970137 | − | 0.550192i | ||||
\(790\) | 16.7306 | − | 28.9782i | 0.595246 | − | 1.03100i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 17.4982 | + | 6.36884i | 0.621773 | + | 0.226307i | ||||
\(793\) | −9.40214 | − | 7.88933i | −0.333880 | − | 0.280158i | ||||
\(794\) | −25.4552 | + | 21.3594i | −0.903370 | + | 0.758018i | ||||
\(795\) | 1.98293 | + | 1.66387i | 0.0703271 | + | 0.0590115i | ||||
\(796\) | 112.072 | − | 40.7909i | 3.97229 | − | 1.44579i | ||||
\(797\) | −22.0327 | −0.780439 | −0.390219 | − | 0.920722i | \(-0.627601\pi\) | ||||
−0.390219 | + | 0.920722i | \(0.627601\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.22668 | 0.0787743 | ||||||||
\(800\) | −13.7554 | + | 5.00654i | −0.486326 | + | 0.177008i | ||||
\(801\) | −4.78359 | − | 4.01390i | −0.169020 | − | 0.141824i | ||||
\(802\) | −33.1955 | + | 27.8544i | −1.17217 | + | 0.983571i | ||||
\(803\) | 5.56212 | + | 4.66717i | 0.196283 | + | 0.164701i | ||||
\(804\) | 10.5175 | + | 3.82807i | 0.370925 | + | 0.135006i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −13.1998 | + | 22.8627i | −0.464943 | + | 0.805306i | ||||
\(807\) | 1.48602 | + | 8.42767i | 0.0523105 | + | 0.296668i | ||||
\(808\) | −12.4525 | − | 4.53233i | −0.438077 | − | 0.159447i | ||||
\(809\) | 54.7205 | 1.92387 | 0.961935 | − | 0.273278i | \(-0.0881077\pi\) | ||||
0.961935 | + | 0.273278i | \(0.0881077\pi\) | |||||||
\(810\) | −18.2422 | −0.640964 | ||||||||
\(811\) | −2.17112 | − | 0.790224i | −0.0762384 | − | 0.0277485i | 0.303619 | − | 0.952793i | \(-0.401805\pi\) |
−0.379858 | + | 0.925045i | \(0.624027\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.01145 | + | 17.0788i | 0.105616 | + | 0.598979i | ||||
\(814\) | −2.13903 | + | 12.1311i | −0.0749731 | + | 0.425193i | ||||
\(815\) | −1.48158 | + | 8.40247i | −0.0518975 | + | 0.294326i | ||||
\(816\) | 8.40420 | + | 14.5565i | 0.294206 | + | 0.509579i | ||||
\(817\) | 29.4085 | − | 23.9587i | 1.02887 | − | 0.838209i | ||||
\(818\) | −22.2772 | −0.778906 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −55.7700 | + | 20.2986i | −1.94757 | + | 0.708858i | ||||
\(821\) | −1.04411 | − | 0.380025i | −0.0364397 | − | 0.0132630i | 0.323736 | − | 0.946147i | \(-0.395061\pi\) |
−0.360176 | + | 0.932884i | \(0.617283\pi\) | |||||||
\(822\) | 15.8478 | − | 5.76811i | 0.552754 | − | 0.201186i | ||||
\(823\) | 3.58543 | + | 20.3340i | 0.124980 | + | 0.708798i | 0.981320 | + | 0.192384i | \(0.0616220\pi\) |
−0.856340 | + | 0.516413i | \(0.827267\pi\) | |||||||
\(824\) | −76.1772 | −2.65376 | ||||||||
\(825\) | −1.23143 | + | 2.13290i | −0.0428729 | + | 0.0742580i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 27.8116 | − | 23.3367i | 0.967103 | − | 0.811495i | −0.0149913 | − | 0.999888i | \(-0.504772\pi\) |
0.982094 | + | 0.188392i | \(0.0603276\pi\) | |||||||
\(828\) | −28.7520 | − | 49.7999i | −0.999200 | − | 1.73066i | ||||
\(829\) | −3.57486 | + | 6.19183i | −0.124160 | + | 0.215051i | −0.921404 | − | 0.388606i | \(-0.872957\pi\) |
0.797244 | + | 0.603657i | \(0.206290\pi\) | |||||||
\(830\) | 7.29726 | + | 41.3848i | 0.253291 | + | 1.43649i | ||||
\(831\) | −8.25537 | − | 6.92708i | −0.286376 | − | 0.240298i | ||||
\(832\) | 0.772852 | + | 4.38306i | 0.0267938 | + | 0.151955i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −2.10220 | − | 1.76395i | −0.0727931 | − | 0.0610807i | ||||
\(835\) | −9.28177 | + | 16.0765i | −0.321209 | + | 0.556350i | ||||
\(836\) | 22.7802 | + | 0.330341i | 0.787869 | + | 0.0114251i | ||||
\(837\) | 6.98070 | + | 12.0909i | 0.241288 | + | 0.417924i | ||||
\(838\) | −16.2754 | + | 5.92377i | −0.562226 | + | 0.204633i | ||||
\(839\) | −32.5197 | + | 11.8362i | −1.12270 | + | 0.408631i | −0.835638 | − | 0.549280i | \(-0.814902\pi\) |
−0.287065 | + | 0.957911i | \(0.592680\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.27672 | + | 7.24065i | −0.0440249 | + | 0.249678i | ||||
\(842\) | 9.35504 | − | 7.84981i | 0.322396 | − | 0.270522i | ||||
\(843\) | 6.32800 | − | 10.9604i | 0.217948 | − | 0.377497i | ||||
\(844\) | −35.6091 | −1.22571 | ||||||||
\(845\) | −1.31449 | − | 7.45486i | −0.0452199 | − | 0.256455i | ||||
\(846\) | −2.86571 | + | 2.40462i | −0.0985253 | + | 0.0826725i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −9.76991 | − | 16.9220i | −0.335500 | − | 0.581103i | ||||
\(849\) | 5.65523 | − | 4.74530i | 0.194087 | − | 0.162858i | ||||
\(850\) | 29.3974 | − | 10.6998i | 1.00832 | − | 0.366999i | ||||
\(851\) | 15.9290 | − | 13.3660i | 0.546040 | − | 0.458182i | ||||
\(852\) | −3.46791 | + | 19.6675i | −0.118809 | + | 0.673797i | ||||
\(853\) | −25.4716 | − | 21.3732i | −0.872132 | − | 0.731805i | 0.0924142 | − | 0.995721i | \(-0.470542\pi\) |
−0.964546 | + | 0.263915i | \(0.914986\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −14.2781 | + | 4.96356i | −0.488301 | + | 0.169750i | ||||
\(856\) | −20.3944 | + | 35.3241i | −0.697066 | + | 1.20735i | ||||
\(857\) | 0.674830 | − | 3.82715i | 0.0230518 | − | 0.130733i | −0.971110 | − | 0.238632i | \(-0.923301\pi\) |
0.994162 | + | 0.107899i | \(0.0344122\pi\) | |||||||
\(858\) | −4.07532 | − | 3.41960i | −0.139129 | − | 0.116743i | ||||
\(859\) | 1.55778 | + | 0.566986i | 0.0531508 | + | 0.0193453i | 0.368459 | − | 0.929644i | \(-0.379886\pi\) |
−0.315308 | + | 0.948989i | \(0.602108\pi\) | |||||||
\(860\) | −8.98158 | + | 50.9371i | −0.306269 | + | 1.73694i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1.65048 | + | 2.85872i | 0.0562156 | + | 0.0973684i | ||||
\(863\) | 26.3594 | + | 45.6558i | 0.897284 | + | 1.55414i | 0.830953 | + | 0.556343i | \(0.187796\pi\) |
0.0663308 | + | 0.997798i | \(0.478871\pi\) | |||||||
\(864\) | −15.7135 | − | 5.71924i | −0.534583 | − | 0.194572i | ||||
\(865\) | 31.9641 | + | 11.6340i | 1.08681 | + | 0.395567i | ||||
\(866\) | −25.0979 | − | 43.4709i | −0.852862 | − | 1.47720i | ||||
\(867\) | 0.636507 | + | 1.10246i | 0.0216169 | + | 0.0374416i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −2.01795 | + | 11.4444i | −0.0684543 | + | 0.388224i | ||||
\(870\) | −9.73530 | − | 3.54336i | −0.330058 | − | 0.120131i | ||||
\(871\) | 8.09009 | + | 6.78839i | 0.274122 | + | 0.230016i | ||||
\(872\) | −10.0235 | + | 56.8459i | −0.339438 | + | 1.92505i | ||||
\(873\) | −9.48457 | + | 16.4278i | −0.321004 | + | 0.555996i | ||||
\(874\) | −42.2918 | − | 36.5450i | −1.43054 | − | 1.23615i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −13.5175 | − | 11.3426i | −0.456715 | − | 0.383230i | ||||
\(877\) | −3.67958 | + | 20.8679i | −0.124251 | + | 0.704660i | 0.857500 | + | 0.514485i | \(0.172017\pi\) |
−0.981750 | + | 0.190175i | \(0.939094\pi\) | |||||||
\(878\) | −67.0497 | + | 56.2614i | −2.26282 | + | 1.89873i | ||||
\(879\) | 2.39141 | − | 0.870401i | 0.0806602 | − | 0.0293579i | ||||
\(880\) | −8.11721 | + | 6.81115i | −0.273631 | + | 0.229604i | ||||
\(881\) | 16.0505 | + | 27.8003i | 0.540755 | + | 0.936616i | 0.998861 | + | 0.0477179i | \(0.0151948\pi\) |
−0.458106 | + | 0.888898i | \(0.651472\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −36.2315 | + | 30.4018i | −1.21929 | + | 1.02310i | −0.220425 | + | 0.975404i | \(0.570744\pi\) |
−0.998862 | + | 0.0476989i | \(0.984811\pi\) | |||||||
\(884\) | 8.07398 | + | 45.7898i | 0.271557 | + | 1.54008i | ||||
\(885\) | 3.46110 | 0.116344 | ||||||||
\(886\) | 21.5355 | − | 37.3007i | 0.723501 | − | 1.25314i | ||||
\(887\) | −8.09177 | + | 6.78980i | −0.271695 | + | 0.227979i | −0.768447 | − | 0.639913i | \(-0.778970\pi\) |
0.496752 | + | 0.867892i | \(0.334526\pi\) | |||||||
\(888\) | 2.84167 | − | 16.1159i | 0.0953602 | − | 0.540815i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 7.77719 | − | 2.83067i | 0.260692 | − | 0.0948841i | ||||
\(891\) | 5.95336 | − | 2.16685i | 0.199445 | − | 0.0725921i | ||||
\(892\) | −34.1352 | − | 59.1239i | −1.14293 | − | 1.97962i | ||||
\(893\) | −1.28224 | + | 2.14835i | −0.0429086 | + | 0.0718919i | ||||
\(894\) | 9.26099 | − | 16.0405i | 0.309734 | − | 0.536475i | ||||
\(895\) | 6.01779 | + | 5.04952i | 0.201153 | + | 0.168787i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.55943 | + | 8.84397i | 0.0520679 | + | 0.295291i | ||||
\(898\) | −72.5634 | − | 60.8879i | −2.42147 | − | 2.03186i | ||||
\(899\) | −3.10044 | − | 17.5835i | −0.103406 | − | 0.586442i | ||||
\(900\) | −18.0817 | + | 31.3185i | −0.602724 | + | 1.04395i | ||||
\(901\) | 5.70961 | + | 9.88933i | 0.190215 | + | 0.329461i | ||||
\(902\) | 22.9479 | − | 19.2556i | 0.764081 | − | 0.641141i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.00088 | − | 6.92972i | 0.133067 | − | 0.230479i | ||||
\(905\) | −18.2722 | −0.607388 | ||||||||
\(906\) | 3.16890 | + | 17.9717i | 0.105280 | + | 0.597071i | ||||
\(907\) | −40.3320 | + | 14.6797i | −1.33920 | + | 0.487430i | −0.909561 | − | 0.415569i | \(-0.863582\pi\) |
−0.429642 | + | 0.902999i | \(0.641360\pi\) | |||||||
\(908\) | 40.9261 | + | 14.8959i | 1.35818 | + | 0.494337i | ||||
\(909\) | −5.24928 | + | 1.91058i | −0.174107 | + | 0.0633699i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −55.1411 | −1.82691 | −0.913454 | − | 0.406942i | \(-0.866595\pi\) | ||||
−0.913454 | + | 0.406942i | \(0.866595\pi\) | |||||||
\(912\) | −18.8840 | − | 0.273842i | −0.625313 | − | 0.00906780i | ||||
\(913\) | −7.29726 | − | 12.6392i | −0.241504 | − | 0.418297i | ||||
\(914\) | −4.00609 | + | 22.7197i | −0.132510 | + | 0.751500i | ||||
\(915\) | 0.689845 | − | 3.91231i | 0.0228056 | − | 0.129337i | ||||
\(916\) | −15.4119 | − | 87.4055i | −0.509225 | − | 2.88796i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 33.5822 | + | 12.2229i | 1.10838 | + | 0.403416i | ||||
\(919\) | −24.5577 | −0.810083 | −0.405041 | − | 0.914298i | \(-0.632743\pi\) | ||||
−0.405041 | + | 0.914298i | \(0.632743\pi\) | |||||||
\(920\) | 41.6614 | 1.37353 | ||||||||
\(921\) | 14.2144 | + | 5.17360i | 0.468379 | + | 0.170476i | ||||
\(922\) | −10.7497 | − | 60.9648i | −0.354024 | − | 2.00777i | ||||
\(923\) | −9.42190 | + | 16.3192i | −0.310126 | + | 0.537154i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.2883 | − | 4.47259i | −0.404038 | − | 0.147058i | ||||
\(926\) | 0.486329 | + | 0.408079i | 0.0159818 | + | 0.0134103i | ||||
\(927\) | −24.5993 | + | 20.6412i | −0.807946 | + | 0.677947i | ||||
\(928\) | 16.3819 | + | 13.7461i | 0.537763 | + | 0.451236i | ||||
\(929\) | −20.9338 | + | 7.61927i | −0.686814 | + | 0.249980i | −0.661771 | − | 0.749706i | \(-0.730195\pi\) |
−0.0250438 | + | 0.999686i | \(0.507973\pi\) | |||||||
\(930\) | −8.54488 | −0.280198 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 15.5936 | 0.510785 | ||||||||
\(933\) | −2.12284 | + | 0.772649i | −0.0694985 | + | 0.0252954i | ||||
\(934\) | 29.7973 | + | 25.0029i | 0.974996 | + | 0.818119i | ||||
\(935\) | 4.74376 | − | 3.98048i | 0.155137 | − | 0.130176i | ||||
\(936\) | −32.7108 | − | 27.4476i | −1.06919 | − | 0.897153i | ||||
\(937\) | −8.97565 | − | 3.26687i | −0.293222 | − | 0.106724i | 0.191221 | − | 0.981547i | \(-0.438755\pi\) |
−0.484443 | + | 0.874823i | \(0.660978\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −7.47013 | + | 12.9386i | −0.243779 | + | 0.422237i | ||||
\(940\) | −0.592396 | − | 3.35965i | −0.0193218 | − | 0.109580i | ||||
\(941\) | −52.3649 | − | 19.0593i | −1.70705 | − | 0.621314i | −0.710450 | − | 0.703748i | \(-0.751509\pi\) |
−0.996597 | + | 0.0824333i | \(0.973731\pi\) | |||||||
\(942\) | 18.1685 | 0.591961 | ||||||||
\(943\) | −50.5681 | −1.64672 | ||||||||
\(944\) | −24.5510 | − | 8.93582i | −0.799066 | − | 0.290836i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.53343 | − | 25.7104i | −0.147395 | − | 0.835916i | ||||
\(947\) | −4.69594 | + | 26.6320i | −0.152597 | + | 0.865423i | 0.808352 | + | 0.588699i | \(0.200360\pi\) |
−0.960950 | + | 0.276724i | \(0.910751\pi\) | |||||||
\(948\) | 4.90420 | − | 27.8131i | 0.159281 | − | 0.903328i | ||||
\(949\) | −8.32501 | − | 14.4193i | −0.270241 | − | 0.468071i | ||||
\(950\) | −6.60519 | + | 34.5248i | −0.214301 | + | 1.12013i | ||||
\(951\) | 17.0490 | 0.552852 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −21.7361 | + | 7.91128i | −0.704100 | + | 0.256272i | −0.669161 | − | 0.743118i | \(-0.733346\pi\) |
−0.0349398 | + | 0.999389i | \(0.511124\pi\) | |||||||
\(954\) | −18.0278 | − | 6.56159i | −0.583672 | − | 0.212439i | ||||
\(955\) | 13.0201 | − | 4.73892i | 0.421319 | − | 0.153348i | ||||
\(956\) | 9.17230 | + | 52.0187i | 0.296654 | + | 1.68241i | ||||
\(957\) | 3.59802 | 0.116308 | ||||||||
\(958\) | 0.910597 | − | 1.57720i | 0.0294200 | − | 0.0509570i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −1.10354 | + | 0.925981i | −0.0356166 | + | 0.0298859i | ||||
\(961\) | 8.13681 | + | 14.0934i | 0.262478 | + | 0.454625i | ||||
\(962\) | 14.1236 | − | 24.4628i | 0.455363 | − | 0.788713i | ||||
\(963\) | 2.98576 | + | 16.9331i | 0.0962147 | + | 0.545660i | ||||
\(964\) | −43.5997 | − | 36.5845i | −1.40425 | − | 1.17831i | ||||
\(965\) | 3.22874 | + | 18.3111i | 0.103937 | + | 0.589455i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 29.9026 | + | 25.0913i | 0.961603 | + | 0.806881i | 0.981213 | − | 0.192927i | \(-0.0617980\pi\) |
−0.0196101 | + | 0.999808i | \(0.506242\pi\) | |||||||
\(968\) | −29.2977 | + | 50.7451i | −0.941664 | + | 1.63101i | ||||
\(969\) | 11.0360 | + | 0.160035i | 0.354526 | + | 0.00514107i | ||||
\(970\) | −12.5706 | − | 21.7729i | −0.403617 | − | 0.699085i | ||||
\(971\) | −38.7178 | + | 14.0921i | −1.24251 | + | 0.452238i | −0.877865 | − | 0.478907i | \(-0.841033\pi\) |
−0.364648 | + | 0.931145i | \(0.618811\pi\) | |||||||
\(972\) | −59.7135 | + | 21.7339i | −1.91531 | + | 0.697117i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −5.16503 | + | 29.2923i | −0.165498 | + | 0.938587i | ||||
\(975\) | 4.32635 | − | 3.63024i | 0.138554 | − | 0.116261i | ||||
\(976\) | −14.9941 | + | 25.9705i | −0.479948 | + | 0.831295i | ||||
\(977\) | 22.4938 | 0.719641 | 0.359821 | − | 0.933022i | \(-0.382838\pi\) | ||||
0.359821 | + | 0.933022i | \(0.382838\pi\) | |||||||
\(978\) | 1.81743 | + | 10.3072i | 0.0581150 | + | 0.329586i | ||||
\(979\) | −2.20187 | + | 1.84759i | −0.0703720 | + | 0.0590491i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 12.1664 | + | 21.0728i | 0.388442 | + | 0.672802i | ||||
\(982\) | −0.172304 | + | 0.144580i | −0.00549844 | + | 0.00461374i | ||||
\(983\) | −41.8597 | + | 15.2357i | −1.33512 | + | 0.485943i | −0.908271 | − | 0.418382i | \(-0.862597\pi\) |
−0.426845 | + | 0.904325i | \(0.640375\pi\) | |||||||
\(984\) | −30.4859 | + | 25.5807i | −0.971856 | + | 0.815484i | ||||
\(985\) | −1.85781 | + | 10.5362i | −0.0591948 | + | 0.335710i | ||||
\(986\) | −35.0107 | − | 29.3775i | −1.11497 | − | 0.935570i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −48.8285 | − | 18.5782i | −1.55344 | − | 0.591052i | ||||
\(989\) | −22.0351 | + | 38.1659i | −0.700675 | + | 1.21360i | ||||
\(990\) | −1.80659 | + | 10.2457i | −0.0574172 | + | 0.325629i | ||||
\(991\) | −34.7245 | − | 29.1373i | −1.10306 | − | 0.925576i | −0.105432 | − | 0.994427i | \(-0.533622\pi\) |
−0.997627 | + | 0.0688503i | \(0.978067\pi\) | |||||||
\(992\) | 16.5744 | + | 6.03260i | 0.526239 | + | 0.191535i | ||||
\(993\) | 2.15853 | − | 12.2416i | 0.0684988 | − | 0.388476i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 18.2121 | + | 31.5443i | 0.577363 | + | 1.00002i | ||||
\(996\) | 17.7344 | + | 30.7169i | 0.561937 | + | 0.973303i | ||||
\(997\) | −9.85844 | − | 3.58818i | −0.312220 | − | 0.113639i | 0.181157 | − | 0.983454i | \(-0.442016\pi\) |
−0.493377 | + | 0.869815i | \(0.664238\pi\) | |||||||
\(998\) | 34.9543 | + | 12.7223i | 1.10646 | + | 0.402718i | ||||
\(999\) | −7.46926 | − | 12.9371i | −0.236317 | − | 0.409313i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))